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
