Question

Please help. A rectangle's length and width are in a ratio of 7:3. The area is 84 square feet. What are the

length and width?
length =
feet
width =
feet

Answer 1

length = 14 feet

width = 6 feet

Explanation:

A = 84 feet square

ratio of length and width = 7 : 3

total ratio of length and width 10 = a

length = (7/10)a

width = (3/10)a

A = length x width = (7/10)a x (3/10)a = (21/100)a² = 84

a² = 84 x 100 : 21 = 400

a = 20 feet

length = 7/10 x 20 = 14 feet

width = 3/10 x 20 = 6 feet