The perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.

Answers

Answer 1

Answer:

20 m by 10 m

Step-by-step explanation:

let w be width and l be length , then

2(l + w) = 60 ( divide both sides by 2 )

l + w = 30 ( subtract w from both sides )

l = 30 - w → (1)

lw = 200 → (2)

Substitute l = 30 - w into (2)

w(30 - w) = 200 ← distribute parenthesis on left side

30w - w² = 200 ( subtract 200 from both sides )

30w - w² - 200 = 0 ( multiply through by - 1 )

w² - 30w + 200 = 0 ← in standard form

(w - 10)(w - 20) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 10 = 0 ⇒ w = 10

w - 20 = 0 ⇒ w = 20

Substitute these values into (1)

l = 30 - 10 = 20

l = 30 - 20 = 10

dimensions of field is 20 m by 10 m

Answer 2

Answer:

THIS IS THE REPRENTATION :I(LENGTH ),W(WIDTH)

2IW= 200

I,II USE THE SUBSTITUTION METHOD SINCE :I=30-W WE CAN SUBSTITUTE THE LENGTH TO 30

-W TO IW=200

(30-W)W=200

W2 + 30W=200---------------TRANSPOSE -w2

+30w

w2-30w +200 = 0------------------- USE FACTORING

(W-20)(w-10 =0----------------- THEN EQUATE EACH FACTOR TO ZERO

W- 20=0 W-10 =0

W=20 W=10

THEN SUBSTITUTE THE VALUE OF w TO ANY OF THE EQUATIONS TO GET THE VALUE OF I

Iw =200 Iw=200

I(20) =200 I(10)

I(20)/20= 200/20 I(10)/10

=200/10

I=10

SO the answer to the problem are: width = 20 then lenght =10 or width = 10 then lenght =20

Related Questions

choosw thw graph that represents the following function :

y=2+4









graph a linear equation with a function table


please help me i will mark as brainlyst

Answers

Answer:

do you mean y=2+4x?

if it is, it would be the top one.

Can someone do 1-4 for me please i will give brainiest

Answers

Answer:

Step-by-step explanation:

f(4)=5

f(-1)=0

f(0)=1

F(2)=3

please someone help me. Im giving brainliest ! Correct answers only :)

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is : D

Here's the solution :

[tex] \sqrt{528} = 22.978250[/tex]

[tex] \sqrt{528} \approx23[/tex]

Am I doing this right I’m trying to help my little brother with his math homework but I don’t remember how to do this and he wants me to use the “cake method” (LCM stands for least common multiple)

Answers

Answer:

The least common multiple is 30. Hope that helps!!

Step-by-step explanation:

Which graph represents a function.

Answers

Answer:

one on bottom rght

Step-by-step explanation:

Is point (90, 68) on line j? Explain how you know​

Answers

I think the answer is A


Could someone help me

Answers

Answer:

A: the answer is 10

B: the answer is 0.03

Step-by-step explanation:

Answer:

a is 10

b is 0.03

hope this helps

solve the inequality 3x-5<10

Answers

Answer:

answer is 5

Step-by-step explanation:

am 100% sure lol

Answer:

x < 5

Step-by-step explanation:

3x - 5 < 10

[make x the subject of the formula]

3x < 10 + 5

3x < 15

[divide both sides of the equation by 3]

3x / 3 < 15 / 3

x < 15 / 3

x < 5

How would you write 43—% asa decima

Answers

43. Hope that helps

Answer:

if it's -43% it's -0.43. If it's 43% it's 0.43

Step-by-step explanation:

please help me on this ​

Answers

Answer:

[tex] {36}^{ - \frac{1}{2} } \\ = \frac{1}{ {36}^{ \frac{1}{2} } } \\ = \frac{1}{ \sqrt{36} } \\ = \frac{1}{6} \\ {64}^{ \frac{1}{3} } \\ = {(4 \times 4 \times 4)}^{ \frac{1}{3} } \\ = { {4}}^{ {3}^{ \frac{1}{3} } } \\ = 4 \\ thank \: you[/tex]

24x - 10 = -12x + 40, What would be the coefficient of x if the variables were moved to the left side of the equation?

Answers

Answer:

25/18

Step-by-step explanation:

24x - 10 = -12x + 40

<=> 24x + 12x = 40 + 10

<=> 36x = 50

<=> x = 50/36

<=> x= 25/18

(x + 2)(x + 3)(x + 4) can be written in the form x + ax² + bx + c
where a, b and care positive integers.
Work out the values of a, b and c.

Answers

Answer:

[tex]a=9, b=26, c=24[/tex]

Step-by-step explanation:

Let's expand the expression bit by bit.

[tex](x+2)(x+3)=(x)(x)+(x)(3)+(2)(x)+(2)(3)=x^2+5x+6[/tex] by FOIL.

We have that [tex](x^2+5x+6)(x+4)=x(x^2+5x+6)+4(x^2+5x+6)=x^3+5x^2+6x+4x^2+20x+24=x^3+9x^2+26x+24[/tex].

So, the answer is [tex]\boxed{a=9, b=26, c=24}[/tex]

What is Cubic Polynomial?

A cubic polynomial is a type of polynomial with the degree of 3 i.e. the highest exponent of the variable is 3.

The general form of a cubic polynomial is written as p(x): ax³ + bx² + cx + d, a ≠ 0, where a, b, and c are coefficients and d is the constant with all of them being real numbers.

Given:

(x + 2)(x + 3)(x + 4)

Now, Multiplying the monomial

= (x² + 2x + 3x+ 6 ) ( x+4)

=  (x² + 5x+ 6 ) ( x+4)

= x³ + 4x² + 5x² + 20x + 6x+ 24

= x³ + 9x² + 26x+ 24

Now, Comparing it with the standard form of cubic Polynomial

ax³ + bx² + cx + d

So, a= 1, b= 9, c= 26 and d= 24.

Learn more about cubic Polynomial here:

https://brainly.com/question/28081769

#SPJ2

Please help me find the value of x

Answers

Answer:

60 degree angle

Step-by-step explanation:

If both of thise angles make 180  then you can divide 180 by 3. this give you 60. you would divide by t3 because 2 of the 3 parts go to the 2x angle.  2x means it is double        your welcome

A stack of books in 59 inches high how high is it in feet and inches

Answers

Answer:

See down bro

Step-by-step explanation:

4 feet

11 inches

What is the area of the polygon?

Answers

I’m pretty sure it’s 38ft^2


(The area of a quadrilateral is equal to length x width. So the area of the larger part of the polygon would be 32ft^2, the area of the small square is 4ft^2 and I’m assuming the area of the small triangle would be 2ft^2 because it has the same length and width as the small square but since it’s a triangle it’s area would be equal to half the area of the square. 32+4+2=38, so the answer would be 38ft^2.)

helpp pls no random or wrong answers!

Answers

Answer:

a) 2/5, b) 2.5

Step-by-step explanation:

a)

[tex](4/25)^{1/2} = \sqrt{4/25} = 2/5[/tex]

b)

[tex](4/25)^{-1/2}=(25/4)^{1/2}=\sqrt{25/4} =5/2=2.5[/tex]

Step-by-step explanation:

please mark me as brainlest

What is the equation of this line?
A. y = -3x + 1
B. y = -3x - 1
C. y = 3x + 1
D. y = 3x - 1

Answers

The correct answer is D. y=3x-1

how man times can 2 go intp 9

Answers

Answer:

4 times

Step-by-step explanation:

It goes in because 2+2+2+2=8 so you cant add 2 again or else it will go over so there for the answer is 4 times.

Which expeession can be simplified as 1/n¹⁸ ?

(n²)⁹

[tex]( {n}^{ - 9}) ^{ - 2} [/tex]
[tex](n^{ - 6}) ^{ - 3} [/tex]
[tex](n^{ - 3}) ^{6} [/tex]

Answers

Step-by-step explanation:

the last one is the correct answer

Solution:

[tex] \frac{1}{ {n}^{18} } \\ = {n}^{ - 18} \\ = {n}^{( - 3 \times 6)} \\ = ( {n}^{ - 3} ) ^{6} [/tex]

Answer:

[tex]( {n}^{ - 3} ) ^{6} [/tex]

What is the value of
( - ) x 43 - ?
A. 6
16
B. 10
C. 35
D. 40

Answers

C.) 35 - skksjsndjsksnsksnns
c) 35 … use PEMDAS in order to get the correct answer !

what percent of 500is 120

Answers

Answer:

24%

Step-by-step explanation:

Hope this helps :)

Answer:

24% of 500 is 120...........

evaluate the series 2 + 4 + 8 + 16 + 32 + 64

Answers

The series is that each number is doubled and added to the next doubled number

Do you think school is good or bad why? (Use your own opinion) I just wanna see your guys opinions

Answers

Answer:

its good because it can help u with ur future it is bad because it is early in the morning and u go there tired

Step-by-step explanation:

Answer:

Good and bad

Step-by-step explanation:

Part of it is good since its actually getting me to my dream job. Bad because it causes a lot of stress (for me anyway).

3 The diagram shows parallel lines a and b cut by
transversals cand d.
If mzi = 115° and m_8 = 105°, what is the measure of
each of the following angles?
56
87
4/3
9 10
13/14
b
Answer: mz5=
t
12 11
16/15
mZ11 =
m2 16 =
Curriculum Associates, LLC
Copring permitted for classroom use
Grade 8 Lesson 9 Understand Angle Relationships
hol narconnel anly Thic rochure ovires on 6/30/2003

Answers

Answer:get the government ewual

Step-by-step explanation:

You have to get the government equal

If f(x)=(x-3)^2, find f(-4)

Answers

Solution:Given, f(x) = (x-3)^2Therefore, f(-4) = (-4-3)^2= (-7)^2= -7 × -7= 49Answer:

f(-4) = 49.

49

Step-by-step explanation:

f(x) = (x - 3)²

f(-4) = (-4 - 3)²

f(-4) = (-7)²

f(-4) = 49

the weekly average cost of hiring a caravan in wales is £250
in July the average cost increases to £800
calculate the percentage increase
give your answer in 2 signifcant figures

Answers

9514 1404 393

Answer:

  220%

Step-by-step explanation:

The percentage change is computed by ...

  % change = ((new value)/(old value) -1) × 100%

  = (800/250 -1) × 100% = (3.2 -1) × 100%

  = 220%

The increase was 220%.

Find the equation of a line that is perpendicular to the line x=-9 and contains the point (-8,1)

Answers

Step-by-step explanation:

the line x = -9 had only one valid x value (-9), but then all values for y between -infinity and +infinity are valid.

does this sound familiar ?

it should, because the y-axis is the same type of line.

it is x = 0.

so, x = -9 is simply parallel to the y-axis.

and any line perpendicular to it (crosses the original line in a right angle = 90 degrees) is then parallel to the x-axis.

there the situation is upside-down: there is only one valid y value, and all values between -infinity and +infinity are valid x values.

since the specified point on that line has y = 1, it means that the whole line is

y = 1

Which three cards have an equal value

Answers

Answer:

the bottom 3 the bottom left one equals 1.33 altogether and if you count the second one it's also 1.33 or 133 blocks coloured and the last one is also 1.33

please, someone, help me with this. Im giving brainliest!

Answers

Answer:

2x-10=14

2x=10+14

2x=24

x=24/2

x=12.

i guess it cant have infinite solutions.........

false.

please someone help me with this. Giving brainliest!!

Answers

Step-by-step explanation:

option A is correct

we will add 5 to both the sides

1/8x - 5 = 3

1/8x = 8

than we will multiply 8 to both the sides

x = 8×8 = 64.

hope this answer helps you dear...take care abd may u have a great day ahead...and ur test/exam/assignment also go well!

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