Problema Solution
The length of a rectangle is four times it's width. If the perimeter of the rectangle is 90ft, find it's area
Answer provided by our tutors
let
l = the length of the rectangle
w = the width of the rectangle
P = 90 ft the perimeter of the rectangle
A = the area
the length of a rectangle is four times it's width
l = 4w
the perimeter of the rectangle is 90 ft
2(l + w) = 90 divide both sided by 2
l + w = 45
by solving the system of equations
l = 4w
l + w = 45
we find
l = 36 ft
w = 9 ft
click here to see the step by step solution of the system of equations
A = l*w
A = 36*9
A = 324 ft^2
the area of the rectangle is 324 ft^2.