The perimeter of the quadrilateral is 43 centimeters. Find the length of each side. X+7

x² - 2x

X+3

2x-2

Side one = x + 3 =

cm

Step-by-step explanation:

A quadrilateral is made up of four sides. This means the sum of all the side equals 43. This is given as;

(x + 7)  + (x² - 2x ) + (x +3)  + (2x - 2) = 43

x² - 2x + 4x + 8 = 43

x²  - 2x - 35 = 0

Upon solving for x by factorization;

( x - 5) ( x + 7) = 0

The values of x are; 5 and - 7

Since the side of shape cannot have a negative value, -7 is ignored.

x = 5

The length of the sides are;

- X+7 = 5 + 7 = 12

- x² - 2x = 5² - 2(5) = 25 - 10 = 15

- X+3  = 5 + 3 = 8

2x-2 = 2(5) - 2 = 10 -2 = 8

Check:

8 + 8 + 15 + 12 = 43