Question

how many square feet of carpet will we need for this hole? a =? ft ft² 13 ft 6 ft 5 ft 3 ft

Explanation:

Step1: Calculate area of large rectangle

The large rectangle has length \( 13 \) ft and width \( 5 \) ft. The formula for the area of a rectangle is \( A = l \times w \). So, \( A_{large} = 13 \times 5 = 65 \) square feet.

Step2: Calculate area of the hole (small rectangle)

The hole is a rectangle with length \( 6 \) ft and width \( 3 \) ft. Using the same area formula, \( A_{hole} = 6 \times 3 = 18 \) square feet.

Step3: Subtract hole area from large rectangle area

To find the area of the carpet needed (the area of the large rectangle minus the area of the hole), we do \( A = A_{large} - A_{hole} = 65 - 18 = 47 \).

Answer:

\( 47 \) square feet