The rectangle shown has a perimeter of 74cm cm and the given area. Its length is 5 more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Question

W= ___

L= ____

A=232cm squared

What is the length and width of the rectangle in cm

Answer 1

Let x = width and y = length

y = 3x+5

A=232 = xy

P=2x + 2y = 74 --> 2x +2(3x+5) = 74 --> 8x +10 = 74 --> x = 64/8 = 8 cm

y = 232/x = 232/8 = 29 cm

W=8 cm

L=29 cm