4.5k views
12 votes
The length and the width of a rectangle are in the ratio of 5 to 2, and the area is 1,000 sq. ft. Find the dimensions.

User Sean Hall
by
3.2k points

1 Answer

10 votes

Explanation:

l = length

w = width

l/w = 5/2

l = 5w/2

l×w = 1000ft²

(5w/2)×w = 1000

5w²/2 = 1000

5w² = 2000

w² = 400

w = 20ft

l = 5w/2 = 5×20/2 = 5×10 = 50ft

the length is 50ft.

the width is 20ft.

User Ricardo Tomasi
by
3.5k points