The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters. Find the dimensions of the rectangle.

Question

Using system of equations by substitutions

Answer 1

L=3+3W length=3 plus 3 times width

2(L+W)=46=perimeter

2L+2W=46

L+W+23

L=23-W

23-W=3+3W

4W=20

W=5 centimeters

L=23-W=23-5=18 centimeters

check the answer

L=18, W=5

Perimeter= 2(L+W)=2(18+5)=2(23)=46

L=3+3W=3+3(5)=3+15=18