Answers
The value of x is 7.2.
The Perimeter of quadrilateral TWNB is 70.
what is perimeter?
A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.
Given: TWNB ≅ RDHY
NW = 3x,
RD = 5x - 19.6
RY = 2x + 5.6
HD = 5x - 14.4
TW = 3x - 5.2
BN = x + 4.8
We have to find the value of x
As, TWNB ≅ RDHY
⇒ TW ≅ RD, WN ≅ DH, NB ≅ HY, TB ≅ RY
Consider, TW ≅ RD
3x - 5.2 = 5x - 19.6
19.6 - 5.2 = 5x - 3x
14.4 = 2x
x = 7.2
Hence, the value of x is 7.2.
Now to find the perimeter of quadrilateral TWNB.
Perimeter of TWNB = TW + WN + NB + TB
Here,
TW = 3x - 5.2 = 16.4
WN = 3x = 21.6
NB = x + 4.8 = 12
TB = RY = 2x + 5.6 = 20
Hence,
Perimeter of TWNB = 16.4 + 21.6 + 12 + 20 = 70.
To know more about perimeter, click on the link
https://brainly.com/question/25092270
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