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?

Question

(1 point)
Responses

80 ft280 ft2

168 ft2168 ft2

88 ft288 ft2

16 ft216 ft2

Answer 1

To determine how many square feet of brick Javier will need for the border, we need to calculate the area of the entire patio plus the border and then subtract the area of the patio itself.

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

2. Calculate the area of the patio:
   Area of patio = Length × Width
   Area of patio = 8 ft × 10 ft = 80 ft²

3. Calculate the dimensions of the entire area including the border:
   The border is 2 ft wide, so it extends 2 ft on each side of the patio.
   Therefore, the new dimensions of the area including the border will be:
   Length = 10 ft + 2 ft + 2 ft = 14 ft
   Width = 8 ft + 2 ft + 2 ft = 12 ft

4. Calculate the area of the entire area including the border:
   Area of total = Length × Width
   Area of total = 14 ft × 12 ft = 168 ft²

5. Calculate the area of the brick border:
   Area of brick border = Area of total - Area of patio
   Area of brick border = 168 ft² - 80 ft² = 88 ft²

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

The correct response is: 88 ft².