To find the total square footage of granite needed, we need to calculate the area of each individual shape on the countertop.
The area of the horizontal rectangle is found by multiplying its length by its width: 6 ft * 2.5 ft = 15 ft^2.
The area of the vertical rectangle is also found by multiplying its length by its width: 4 ft * 2.5 ft = 10 ft^2.
The area of the right triangle can be found using the formula for the area of a triangle: (1/2) * base * height. In this case, the base is the bottom leg of the triangle, which has the same length as the width of the horizontal rectangle (2.5 ft), and the height is the height of the vertical rectangle (4 ft). So the area of the triangle is (1/2) * 2.5 ft * 4 ft = 5 ft^2.
To find the total square footage, we add up the areas of the three shapes: 15 ft^2 + 10 ft^2 + 5 ft^2 = 30 ft^2.
Therefore, Shannon will need 30 square feet of granite to completely cover the top of her countertops.
None of the given answer choices match the correct answer of 30 ft^2.
Shannon is going to get granite put on her countertops. Below is a scale drawing of what the top of her countertops look like.
Image of a top of a counter. There is a horizontal rectangle with a length of 6 ft and a width of 2.5 ft. Sharing the left side of the rectangle is a right triangle. The hypotenuse of the right triangle is on the left side of the triangle. The bottom leg of the triangle is shared with another rectangle that is vertical. The height of the rectangle is 4 feet and the width is 2.5 ft.
How many square feet of granite will she need in order to completely cover the top of the countertop?
Shannon is going to get granite put on her countertops. Below is a scale drawing of what the top of her countertops look like.
Image of a top of a counter. There is a horizontal rectangle with a length of 6 ft and a width of 2.5 ft. Sharing the left side of the rectangle is a right triangle. The hypotenuse of the right triangle is on the left side of the triangle. The bottom leg of the triangle is shared with another rectangle that is vertical. The height of the rectangle is 4 feet and the width is 2.5 ft.
How many square feet of granite will she need in order to completely cover the top of the countertop?
31.25 ft2
28.125 ft2
25 ft2
33.125 ft2
1 answer