Problema Solution
The width of a rectangle is 6 kilometers more than twice its length. If area is 216 square kilometers, find the dimensions of a rectangle.
Answer provided by our tutors
let
l = the length of the rectangle, l>0
w = the width of the rectangle, w>0
A = 216 km^2 the area of the rectangle
the width of a rectangle is 6 kilometers more than twice its length:
w = 6 + 2l
the area of a rectangle = width*length that is A = l*w
l*w = 216
plug w = 6 + 2l into the last equation:
l(6 + 2l) = 216
by solving we find:
l = 9 km
click here to see the step by step solution of the equation:
w = 6 + 2*9
w = 24 km
the dimensions of the rectangle are 9 km and 26 km.