509,322 views
40 votes
40 votes
The length of a rectangle is 5 more than the width. The perimeter is 120. What is the length, width, and area? Please HELP

User Abelenky
by
2.5k points

1 Answer

13 votes
13 votes

Answer:

l = 32.5 units, w= 27.5 units, A = 893.75 units²

Explanation:

width is w

length is l = 5+w

P = 2( l+w) , substitute l for 5+w

P = 2(5+w+w)

P = 2(5+2w)

P = 10 +4w

P = 120

10 +4w = 120

4w = 120-10

4w = 110

w= 110/4

w= 27.5 units

l = 5+w = 5+ 27.5 = 32.5 units

A = l*w = 27.5 * 32.5 = 893.75 units ²

User Dave Andersen
by
2.5k points