Question

The perimeter of a rectangle is 120 inches. The length is 10 more than the width. Find the length and width

Answer 1

The formula of a perimeter of a rectangle:

$P=2(l+w)$

We have:

$P=120\ in\\\\l=w+10$

Substitute

$2(w+10+w)=120\\\\2(2w+10)=120\ \ \ \ |:2\\\\2w+10=60\ \ \ \ |-10\\\\2w=50\ \ \ \ |:2\\\\w=25\\\\l=25+10=35$

Answer: Length = 35 in, Width = 25 in.