Question

Can someone help me and show how to write the perimeter equation for x to this polygon.50 points Find x for full 70 points

Answer 1

Answer:

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

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