Problema Solution
A rectangle has a width 2 less than half the length. If the area is 30, what is the perimeter?
Answer provided by our tutors
let
w = the with of the rectangle
l = the length of the rectangle
a rectangle has a width 2 less than half the length
w = (l/2) - 2
the area is 30
l*w = 30
plug w = (l/2) - 2 into the last equation
l((l/2) - 2) = 30
by solving the equation we find and consider the positive roots only
l = 10
click here to see the step by step solution of the equation
w = 10/2 - 2
w = 3
the perimeter P = 2(l + w)
P = 2(10 + 3)
P = 26
the perimeter is 26.