Question

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

9514 1404 393

Answer:

• length: 14 ft
• width: 6 ft

Explanation:

Let 7x represent the length. Then 3x will represent the width, and the area will be ...

A = LW = (7x)(3x) = 21x² = 84 ft²

Dividing by 21 gives ...

x² = 4 ft²

Taking the square root, we have ...

x = 2 ft

So, the length and width are ...

length = 7·2 ft = 14 ft

width = 3·2 ft = 6 ft