Problema Solution
A rectangle is 3 times as long as it is wide. If the area is 75 square feet, find its perimeter.
Answer provided by our tutors
let
l = the length of the rectangle
w = the width of the rectangle
a rectangle is 3 times as long as it is wide
l = 3w
the area is 75 square feet
l*w = 75
plug l= 3w into the last equation
3w*w = 75
by solving we find and consider the positive root since the width can not be a negative number
w = 5 ft
click here to see the step by step solution of the equation
l = 3*5
l = 15 ft
the perimeter P = 2(l + w)
P = 2(5 + 15)
P = 40 ft
the perimeter of the rectangle is 40 feet.