Question

If the perimeter of the polygon below is 52 ft, solve for x, and identify the length of each side in the corresponding spaces below (figure not drawn to scale). Don't forget to include units in your answer!

Answer 1

x = -3

a) 6 ft

b) 7 ft

c) 9 ft

d) 11 ft

e) 5 ft

f) 14 ft

Explanation:

set up the equation

-2x + 4 - x +x +12 + 3x + 20 + 2x + 11 + 7x + 35 = 52

combine like terms

10x + 82 = 52

single out the variable

10x = -30

x = -3

substitute x in all the following equations

a) -2(-3) = 6

b) 4 - -3 = 7

c) -3 + 12 = 9

d) 3(-3) + 20 = 11

e) 2(-3) + 11 = 5

f) 7(-3) + 35 = 14

have a lovely day <3