What are the solutions to (x+7)^2=81

(x + 7)² = 81

x + 7 = √81

x+7 = 9

x = 9 - 7

x = 2

Perimeter refers to the distance around a figure in this case a rectangle. On this problem is given the perimeter of the rectangle and its asked to find the value of x.

First of all, you should know that the formula to find the perimeter of a rectangles is P=2b+2h where b is the base and h the height of the rectangle.

P=2b+2h                    Substitute the given values
30=2(3x)+2(2x)          Associate the terms
30=6x+4x                   Combine like terms
30=10x                       Divide in both sides by 10 to isolate x
3=x 

The value of x for the rectangle is 3 units.