Question

The length of a rectangle is 3 inches longer than it is wide. If the 46 inches what are the dimensions of the rectangle

Answer 1

Hello from MrBillDoesMath!

Answer:

10 and 13

Discussion:

Let "w" be the width of the rectangle.  Then

Perimeter= 46

2w + 2l = 46

2w+ 2(w+3) = 46                               => as l = w+ 3

2w + 2w + 2*3    = 46                       =>

2w + 2w + 6 = 46                             => 2 + 6 = 8

6 + 4w = 46                                      => subtract 6 from both sides

4w = 46 - 6  = 40                             => divide both sides by 2

w = 40/4 = 10

As l = w + 3, l = 10+ 3 = 13

Thank you,

MrBAs l =