A patio measures 12 feet by 14 feet. How many 8-inch-square paving stones are needed to pave the patio?

A patio measures 12 feet by 14 feet. How many 8-inch-square paving stones are needed to pave the patio?

Detailed Explanation

To find the number of 8-inch-square paving stones needed to pave the patio, we first need to convert the dimensions of the patio to inches. Since 1 foot is equal to 12 inches, the patio measures 12 × 12 = 144 inches by 14 × 12 = 168 inches.

- Next, we need to find the area of the patio in square inches by multiplying the length by the width: 144 × 168 = 24,192 square inches.

To find the number of 8-inch-square paving stones needed to cover this area, we need to divide the total area of the patio by the area of each paving stone. The area of an 8-inch-square paving stone is 8 × 8 = 64 square inches.

So, the number of paving stones needed is:

24,192 square inches / 64 square inches per paving stone = 378 paving stones (rounded up to the nearest whole number)

- Next, we need to find the area of the patio in square inches by multiplying the length by the width: 144 × 168 = 24,192 square inches.

To find the number of 8-inch-square paving stones needed to cover this area, we need to divide the total area of the patio by the area of each paving stone. The area of an 8-inch-square paving stone is 8 × 8 = 64 square inches.

So, the number of paving stones needed is:

24,192 square inches / 64 square inches per paving stone = 378 paving stones (rounded up to the nearest whole number)