Question

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 8 ft by 10 ft , and the border will be 2 ft wide. How many square feet of brick will he need?(1 point) Responses 80 ft2 80 ft2 168 ft2 168 ft2 16 ft2 16 ft2 88 ft2 88 ft2

Answer 1

To find out how many square feet of brick Javier will need for the border around the patio, we can follow these steps:

1. **Calculate the dimensions of the patio**:
- The patio is 8 ft by 10 ft.

2. **Calculate the dimensions including the border**:
- Since the border is 2 ft wide, it will extend 2 ft out from all sides of the patio.
- The new dimensions will be:
- Length: 10 ft + 2 ft (left) + 2 ft (right) = 14 ft
- Width: 8 ft + 2 ft (top) + 2 ft (bottom) = 12 ft

3. **Calculate the area of the larger rectangle (patio + border)**:
\[
\text{Area of the larger rectangle} = \text{Length} \times \text{Width} = 14 \text{ ft} \times 12 \text{ ft} = 168 \text{ ft}^2
\]

4. **Calculate the area of the patio**:
\[
\text{Area of the patio} = \text{Length} \times \text{Width} = 10 \text{ ft} \times 8 \text{ ft} = 80 \text{ ft}^2
\]

5. **Calculate the area of the brick border**:
\[
\text{Area of the brick border} = \text{Area of the larger rectangle} - \text{Area of the patio} = 168 \text{ ft}^2 - 80 \text{ ft}^2 = 88 \text{ ft}^2
\]

So, Javier will need **88 ft²** of brick for the border.

The correct answer is **88 ft²**.