Question

Allison and Lindsey each measured their bedrooms for new carpeting. They found

that both rooms were square, with the length of Lindsey's room 3 feet longer than
Allison's. If Lindsey needed 225 square feet of carpeting, how many square feet of
carpeting did Allison need?

Answer 1

Explanation:

Let's assume that the length of a side of Allison's room as x

So, Lindsey's room = x + 3

If Lindsey's room needs 225 sq. feet of carpeting, then x + 3 =
`√(225)`

So, x + 3 = 15

Therefore, x = 15 - 3 = 12 ( So, Allison's room has a side of length 12)

Therefore, the carpeting needed = 12 × 12 = 12² = 144 sq. feet

There's your answer!