Question

Find the perimeter of the figure if the following is true: a = x + 7 b = 2x + 2 c = 8x d = x + 10

Answer 1

Given:

A figure consisting of a polygon

To find:

Find the perimeter of the figure if the following is true: a = x + 7 b = 2x + 2 c = 8x d = x + 10

Solution:

From given, we have,

a = x + 7

b = 2x + 2

c = 8x

d = x + 10

Consider the attached figure while going through the following steps.

From the figure it's clear that, the perimeter of the figure is calculated as follows:

Perimeter = a + b + c + d

substitute the given values in the above equation

P = x + 7  + 2x + 2  + 8x + x + 10

P = 12x + 19

Therefore, the value of the perimeter of the figure is 12x + 19

Answer 2

/* Figure is not attached. */

$a,b,c \: and \: d \: are \: sides \: of \: a \\quadrilateral .$

$Given \: a = x + 7 , b = 2x + 2 , c = 8x \: and \\d = x + 10$

$\red{ Perimeter \: of \: the \: Quadrilateral }\\= a + b + c + d \\= x + 7 + 2x + 2 + 8x + x + 10 \\= x+2x+8x+x + 7+2+10 \\= 12x + 19$

Therefore.,

$\red{ Required \: perimeter } \green { = 12x + 19}$

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