The perimeter of a square is 96 inches. if the side length is 2x + 4, what is the value of x and the length of each side?
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
Formula used :
perimeter of square = 4a {where, a = side}
side = 2x + 4
and, perimeter = 96 inches
Now, putting values in formula, we get
96 = 4(2x+4)
96 = 8x + 16
8x = 96 - 16
8x =80
x =80/8
x = 10
Side = 2(10) + 4
= 20+ 4
= 24 inches
Thus, value of x is 10 and side of square is 24 inches.