A rectangle has a length of 24 meters less than 8 times its width. If the area of the rectangle is 320 square meters, find the length of the rectangle.

Question

find the length

Answer 1

This problem has 3 or 4 areas that could make it challenging. The first thing you have to be able to do is write an equation with the information they gave you. Then, you have to be able to solve the equation (one way is by factoring the quadratic and using the Zero Product Property); finally, you have to use your answer to the equation in order to answer their question. I briefly explain each of those steps in the video. Have a great day!

Answer 2

L = 8W -24

Area = 320 = LW = (8W-24)W = 8W^2 - 24W

8W^2 -24W -320 = 0

W^2 - 3W - 40 = 0

(W-8)(W+5) = 0

W = 8 meters Wide

L=8(8)-24 = 40 meters Long