Question

The length of a rectangle is nine inches more than the width. The perimeter is 46 inches. Find the length and width. Please show work.

Answer 1

W=7 L= 16

Explanation:

you start off with

P=2L+2W (the equation to find perimeter)

the equation gives you the perimeter = 46

so you plug that in

46=2L +2W

then it says the length IS (which also means equals) 9 plus the width

so you then get another equation:

L=9+W

you take that and plus it into the first equation/ substitute the new equation for L in the first equation

46=2(9+W)+2W

you solve that and get

w=7

you plus the 7 in for the w

L=9+7 = 1

W=7 L=16