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
choose one of the options please
The total area of the countertop can be calculated by finding the area of each individual shape and then adding them together.
The area of the horizontal rectangle is length * width = 6 ft * 2.5 ft = 15 ft^2.
The area of the vertical rectangle is length * width = 4 ft * 2.5 ft = 10 ft^2.
To find the area of the right triangle, we can use the formula 1/2 * base * height. The base of the triangle is 2.5 ft and the height is 2.5 ft, so the area of the triangle is 1/2 * 2.5 ft * 2.5 ft = 3.125 ft^2.
Adding up the areas of the rectangle and the triangle, we get 15 ft^2 + 10 ft^2 + 3.125 ft^2 = 28.125 ft^2.
Therefore, Shannon will need 28.125 ft^2 of granite to completely cover the top of her countertop.
The correct answer is 28.125 ft2.