The length of a rectangle is 9 inches less than twice the width. if the perimeter of the rectangle is 84 inches, find the dimensions of the rectangle.

Question

asked Dec 11, 2019 75.7k views

1 Answer

Drunken M · Answer 1 · 2019-12-14T20:37:49+0000

translate each statement into mathematical language

length is nine inches less than twice width. L = 2W - 9

perimeter is 84 inches 2L +2W = 84

Substitute the expression for L (2W-9) for L in the second equation resulting in the follwing

2(2W-9) + 2W = 84

4W - 18 + 2W = 84

(4W+2W) = 84+18

6W = 102

W = 102/6 = 51/3

L = 2(51/3) - 9

= L= 17-9

L=6