Question

Can someone help me and show how to write the perimeter equation to this polygon.

Answer 1

10x + 8 = 21

x = 1.3

Step-by-step explanation:

a)

In pentagon ABCDE,

AB = DE = 2x + 3 and BC = CD = x + 1

Perimeter of pentagon ABCDE = 21

4x + 2(2x + 3) + 2(x + 1) = 21

4x + 4x + 6 + 2x + 2 = 21

$\purple {\boxed {\bold{10x + 8 = 21}}}$

b)

10x = 21 - 8

10x = 13

$x = \frac{13}{10} \\ x = 1.3 \: cm$

Answer 2

STEP BY STEP EXPLANATION BOIZ:

A) AB + BC × 2 + AE = 21

B)  The value of x is 1.3