The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectangle is inches, and its width is inches.

Question

asked Sep 21, 2021 144k views

1 Answer

Charles Okojie · Answer 1 · 2021-09-28T15:37:06+0000

Answer: Width= 7 in.

Length= 10 in.

Explanation:

l=w+3

The perimeter of the rectangle is 34 inches.

2(w+l)=34

substitute

2(w+w+3)=34

2(2w+3)=34

distributive property
a(b+c)=ab+ac

$2\cdot 2w+2\cdot 3=34$

4w+6=34

4w+6-6=34-6

4w=28

divide 4 on both sides

w=7

Width is 7 inches

substitute w=7 in equation
l=w+3

l=7+3

l=10

Length is 10 inches