Problema Solution
A rectangle is 8 miles longer than it is wide. Find the dimensions of the rectangle if its area is 435 square miles.
Answer provided by our tutors
let
w = the width of the rectangle and w>0
l = the length of the rectangle and l>0
a rectangle is 8 miles longer than it is wide
l = w + 8
the area id 435 miles^2 and the formula for the area is width*length
w*l = 435
by solving the system of equations
l = w + 8
w*l = 435
we find
l = 25.24 miles
w = 17.24 miles
we consider only the positive solutions since w>0 and l>0.
the dimensions of the rectangle are 25.24 miles and 17.24 miles.