A rectangle has the length of (2x + 5) and the width of (3x - 2). The perimeter of the rectangle is 36cm. Find the length and width of this rectangle.

Perimeter = (2x+5) + (2x+5) + (3x-2) + (3x-2) = 36= 10x + 6 = 3610x = 36 - 6 10x = 30x = 30/10x=3cmLength = (2x + 5)=2 X 3 + 5=6+5Length =11cmWidth = (3x - 2)= 3 X 3 - 2=9 - 2Width = 7cmDouble check: (2x+5) + (2x+5) + (3x-2) + (3x-2) = 36= (2 X 3 + 5) + (2 X 3 + 5) + (3 X 3 - 2) + (3 X 3 - 2) = 36= 11 + 11 + 7 + 7 =36cm