Javier is building a patio next to his house. He plans to add a brick border that extends all the way around the perimeter of the patio. The patio will be 8ft. by 10ft., and the border will be 2ft. wide. How many square feet of brick will he need?

Answer 1

To determine how many square feet of brick Javier will need for the border, we first need to calculate the dimensions of the patio including the border on all sides.

1. Patio dimensions:

   • Length = 10 feet
   • Width = 8 feet

2. Width of the border:

   • The border adds 2 feet to each side of the patio. Therefore, the dimensions of the area including the patio and the border will be:
   • Length of the entire area = 10 feet + 2 feet (border on one side) + 2 feet (border on the other side) = 10 + 4 = 14 feet
   • Width of the entire area = 8 feet + 2 feet (border on one side) + 2 feet (border on the other side) = 8 + 4 = 12 feet

3. Calculate the area of the entire region (patio + border): \[ \text{Area of entire region} = \text{Length} \times \text{Width} = 14 \text{ ft} \times 12 \text{ ft} = 168 \text{ square feet} \]

4. Calculate the area of the patio alone: \[ \text{Area of patio} = \text{Length} \times \text{Width} = 10 \text{ ft} \times 8 \text{ ft} = 80 \text{ square feet} \]

5. Calculate the area of the brick border: \[ \text{Area of border} = \text{Area of entire region} - \text{Area of patio} = 168 \text{ square feet} - 80 \text{ square feet} = 88 \text{ square feet} \]

Thus, Javier will need 88 square feet of brick for the border around the patio.