9. The figure shows a rectangle with its length and
breadth as indicated. Given that the perimeter of
the rectangle is 120 cm, find the area of the rectangle.
(3x - y) cm
(2x – 3) cm
(2x + y) cm

9. The Figure Shows A Rectangle With Its Length Andbreadth As Indicated. Given That The Perimeter Ofthe

Answers

Answer 1

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3                                                          ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2


Related Questions

Answer all this question

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Answer:

the question is not there

HELPPPPPPP IVE BEEN LISTENING TO MY COMFORT PLAYLIST STRESSING ABOUT THIS FOR TO LONG

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Answer:

-2.86

-0.37

0.19

0.91

1.46

For the figure shown on the right, find the value of the variable and the measures of the angles.

Answers

The degrees on a triangle add up to 180.

(x) + (x-7) + (3x+12) = 180 ; Just shwoing what i'm doing.

x + x-7 + 3x + 12 = 180

5x + 5 = 180 ; x + x + 3x = 5x , 12 - 7 = 5

5x = 175 ; Subtract 5 from 180

x = 35 ; 175/5 = 35

x=35

P: x - 7 = 35 - 7 = 28

Q: 3 (x) + 12 = 3 (35) + 12 = 105 + 12 = 117

R: x = 35

P= 28 degrees, Q= 117 degrees, R= 35 degrees.

Using the following information identify the pattern with the domain values and the
range write a function for the data.
{(1,9), (2,18),(3,27), (4,36)}

Answers

9514 1404 393

Answer:

  y = 9x

Step-by-step explanation:

We notice that each y-value is a multiple of 9, and the multiple is x.

  y = 9x

. A golf cart priced at $6600 was on sale for 20% off. The sales tax rate is 5%. What is the sale price of the golf cart, including tax?

Answers

20% off means it is selling for 80% of the original price (109% - 20 % = 80%)

Sale price = 6600 x 0.80 = 5,280

Now add the tax:

5280 x 1.05 = 5544

The total price is $5,544

what is 10000 in expanded form ? ​

Answers

Answer:

[tex]{ \red{ \bold{ = 1 \times 10 {}^{4}}}}[/tex]

Step-by-step explanation:

Step 1: Write the initial number as a product of its first digit and matching place value

[tex] {\red {\bold{10 \: 000 = 1 \times 10 \: 000}}}[/tex]

Step 2: Write 10000 as 10 to the power of 4

[tex]{ \boxed{ \red{ \bold{10 \: 000 = 1 \times 10 {}^{4}}}}}[/tex]

Hence, This is the expanded form with exponents of the initial number !

-64+?=0 i need help!

Answers

Answer:

64

Step-by-step explanation:

If you add a positive number that is the same as the negative number together then your answer will end up to be 0.

Answer:

64

Step-by-step explanation:

- 64 + 64 = 0

Adding a positive number to the negative of the same number gives zero

Calculate the slope between the points: (4,-9) and (5,1)

Answers

Answer:

10

Step-by-step explanation:

1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. All we have to do is plug in the values and simplify.

2. (Solving)

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] [tex]\frac{1-(-9)}{5-4}[/tex] [tex]\frac{1+9}{1}[/tex] [tex]\frac{10}{1}[/tex] [tex]10[/tex]

Therefore, the slope is 10.

A coordinate plane is labeled with quadrants 1, 2, 3, and 4.Point P is located at (–4, –7). P is reflected across the x-axis to create P'. In which quadrant is P' located?Quadrant IQuadrant IIQuadrant IIIQuadrant IV

Answers

Answer:

quadrant 3 you're welcome :-)

Answer:

Step-by-step explanation:

QUANCDRAHT 2


Identify all terms in the given expression, and their coefficients:
4x + 3b +2

Answers

Answer:

terms-4x, 3b and 2

Step-by-step explanation:

coefficients-4, 3 and 2

In exceed codes 11-14 solve the system of nonlinear equations using the graph (picture attached)

Answers

The point (or points) of intersection are the solutions.
11. (-4, 1)
12. No solution
13. (1, 4) and (9, 4)
14. (-4, 0) and (1, 5)

Bentil sells 240 years at 12% simple interest per annum what will be the total amount in Bentil's account at the end of the three years 3 years?​

Answers

Answer:

86.4

Step-by-step explanation:

12% of 240 * 3 = 86.4

7x - 4 + x = 12
x = ?

Answers

Answer:

7x - 4 + x = 12

7(2) - 4 + (2) = 12

True x = 2

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

If
f(x) = x2 + 2x - 4
and
g(x) = 3x + 1
=
Find
g(f(x)) = [ ? ]x2 +[ ]x + [ ]

Answers

The equation for g(f(x)) would equal 5x2 + 2x -11

I got this by graphing both of those equations, and their lines were the exact same.

Graph shown below:

What is the answer to this question?

Answers

both have a right angle, and both have a 61* angle, meaning the third angle has to be 29* on both (all angles in a triangle have to add up to 180 so you subtract the 90 and the 61 = 29)

Question: A skateboard travels 55 feet in 4 seconds. Is the skateboard going a FASTER or SLOWER speed compared to the scooter?

a
Slower. The scooter travels 60 feet in 4 seconds, so it is going faster than the skateboard, which travels 55 feet in 4 seconds.
b
Faster. The scooter travels 40 feet in 4 seconds, so it is going slower than the skateboard, which travels 55 feet in 4 seconds.
c
Slower. The scooter travels 70 feet in 4 seconds, so it is going faster than the skateboard, which travels 55 feet in 4 seconds.
d
Faster. The scooter travels 50 feet in 4 seconds, so it is going slower than the skateboard, which travels 55 feet in 4 seconds.

Answers

A

Step-by-step explanation:

55: 4

60: 4

4(=)

60 is bigger than 55

bigger distance in the same time.

Which statement could be represented by the expression 6a2 - 4?

Answers

Answer:

The following expression may be 2(3a^2-2).

Step-by-step explanation:

I factored the following expression 6a^2-4

What are the roots (x intercepts ) of the equations below ? Show your work , Factor if possible or use Quadratic Equation . a ) y = x ^ 2 - x - 6 b). y = 2x ^ 2 + x - 6

Answers

Answer:

(a) [tex]x=-2,3[/tex] (b) [tex]x=\frac{3}{4} ,-\frac{11}{4}[/tex]

Step-by-step explanation:

[tex]y=x^2-x-6\\y=2x^2+x-6[/tex]

For the first equation, this can easily be factored

[tex]y=(x+2)(x-3)[/tex]

Now, set each of their factors equal to zero and solve

[tex]x+2=0\\x=-2\\\\x-3=0\\x=3[/tex]

Therefore, for a, the roots of [tex]y=x^2-x-6[/tex] are [tex]x=-2, 3[/tex]

For the second equation, it is able to be factored, however, its normally easier to use the quadratic equation to solve polynomials with an a term greater than 1

[tex]y=2x^2+x-6[/tex]

[tex]x_{1} =-b+\frac{\sqrt{b^2-4ac} }{2a}=-1+\frac{\sqrt{1-4(2)(-6)} }{4}=-1+\frac{\sqrt{1-(-48)} }{4}=-1+\frac{\sqrt{49} }{4} =-1+\frac{7}{4}=\frac{3}{4}[/tex]

[tex]x_{2}=-b-\frac{\sqrt{b^2-4ac}}{2a}=-1-\frac{\sqrt{1-4(2)(-6)} }{4} =-1-\frac{\sqrt{1-(-48)} }{4}=-1-\frac{\sqrt{49} }{4}=-1-\frac{7}{4} =-\frac{11}{4}[/tex]

Hope this helps! :)

Find the missing angle.
у
37
58°
y = [?]
Enter the number that belongs in the green box.

Answers

Answer:

85°

Step-by-step explanation:

The sum of all angles in a triangle is 180°

180 = y + 37 + 58

y = 180 - 37 - 58

y = 85

Answer:

85 degrees

Step-by-step explanation:

y+95 degrees=180 degrees

y=85 degrees

2/3x6/7 ..............

Answers

Answer:

0.57

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

2/3 × 6/7 =

2 × 2/7 =

4/7

Blake says that 4(x − 1) = 12-4x has zero solutions. Is Blake correct? Explain why or why not. ​

Answers

Answer: He's wrong. The solution is x=2

Step-by-step explanation:

4x-4=12-4x

8x-4=12

8x=16

x=2

Blake's assumption is wrong. x = 2 is the solution.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

We have an algebraic equation,

4(x − 1) = 12-4x.

Simplifying,

4x - 4 = 12 - 4x

8x = 16

x = 2

Therefore, x = 2 is the solution.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

2tsp of vanilla extract makes 27 cookies. how much vanilla extract would you need to make 24 cookies?

Answers

Answer:

so it is basically 2 times 27 or 27 plus 27 witch is 54 you will need 12

Step-by-step explanation:

Ignore how blurry the picture is

Answers

I HOPE THE ABOVE INFORMATION WILL HELP YOU.

THANK YOU.

While on a business trip to Hampton, Valentina treated her co-workers to a meal that cost
$393.16. Valentina knew that when the bill came, she would need to pay Hampton sales tax
of 6.25% and would want to leave an 18% tip on the original $393.16. Including tax and tip,
how much did Valentina's meal cost?

Answers

Valentina’s meal cost $488.5 with tax and tip included. (note that the values were rounded to nearest hundredth)

write each equation explicitly in terms of x: (with steps)
1) y^2 -x^2 + 1 = 50

2) y^2 +6y +9 = x + 8

Answers

Step-by-step explanation:

y2−x2+1=50

Step 1: Add -y^2 to both sides.

−x2+y2+1+−y2=50+−y2

−x2+1=−y2+50

Step 2: Add -1 to both sides.

−x2+1+−1=−y2+50+−1

−x2=−y2+49

Step 3: Divide both sides by -1.

−x2

−1

=

−y2+49

−1

x2=y2−49

Step 4: Take square root.

x=√y2−49 or x=−√y2−49

Answer:

x=√y2−49 or x=−√y2−49

y2+6y+9=x+8

Step 1: Flip the equation.

x+8=y2+6y+9

Step 2: Add -8 to both sides.

x+8+−8=y2+6y+9+−8

x=y2+6y+1

Answer:

x=y2+6y+1

How do u factorise: x²-x-6= (x+2) ( )

Answers

Answer:

x=−2 or x=4

Step-by-step explanation:

Step 1: Subtract x+2 from both sides.

x2−x−6−(x+2)=x+2−(x+2)

x2−2x−8=0

Step 2: Factor left side of equation.

(x+2)(x−4)=0

Step 3: Set factors equal to 0.

x+2=0 or x−4=0

x=−2 or x=4

I NEED SOME HELP?
Given the arithmetic sequence {-12, -7, -2, 3, ...} what is the 15th term of the sequence?

Group of answer choices

58

33

43

48

63

Answers

Answer:

58

Step-by-step explanation:

We are given the arithmetic sequence:-

-12,-7,-2,3,...

First, find the common difference which we can obtain by:-

[tex] \displaystyle \large{d = a_{n + 1} - a_n}[/tex]

Check:-

-7-(-12) = -7+12 = 5

-2+7 = 5

3+2 = 5

Therefore, our common difference is 5.

General Arithmetic Term

[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]

Since we want to find the 15th term, substitute a1 = -12, n = 15 and d = 5.

[tex] \displaystyle \large{a_{15}= - 12 + (15 - 1)5} \\ \displaystyle \large{a_{15}= - 12 + (14)5} \\ \displaystyle \large{a_{15}= - 12 + 70} \\ \displaystyle \large{a_{15}= 58} \\ [/tex]

help me pls ASAP I need it in 5mins​

Answers

Answer:

3 hours and 45 Minutes

Step-by-step explanation:

If you multiply 45 minutes for five days it's equal to 3 hours and 45 minutes.

Laney wants to eat healthier so she has started to pay attention to the calories in the food she eats. So far today, Laney has eaten two apples and 3 cups of cereal. She has consumed 625 calories. If an apple has 95 calories, how many calories are in a cup of cereal?
Need to know how it was solved!
Please I need this super soon!

Answers

Answer:

145 calories

Step-by-step explanation:

2 apples so - 95x2= 190

625-190 = 435

435/3= 145

Hope this helps :)

HELLPPPP PLEASE Lol pleaseeee

Answers

Answer:

b and d

Step-by-step explanation:

b&d is your answer

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