ind the area in square inches of this trapezoid-shaped tabletop by decomposing it into simpler shapes.(1 point)%0D%0AResponses%0D%0A%0D%0A756 square inches%0D%0A756 square inches%0D%0A%0D%0A648 square inches%0D%0A648 square inches%0D%0A%0D%0A882 square inches%0D%0A882 square inches%0D%0A%0D%0A864 square inches

3 answers

To find the area of the trapezoid-shaped tabletop, we can decompose it into a rectangle and two right triangles.

Let's label the dimensions of the trapezoid as follows:
- Top base: 18 inches
- Bottom base: 24 inches
- Height: 12 inches

First, we can find the area of the rectangle by multiplying the bottom base by the height:
Area of rectangle = 24 inches * 12 inches = 288 square inches

Next, we can find the area of the two right triangles. Each right triangle has a base of 3 inches (half the difference between the top and bottom bases) and a height of 12 inches.

Area of one right triangle = (1/2) * 3 inches * 12 inches = 18 square inches
Since there are two right triangles, the total area of both is 18 square inches * 2 = 36 square inches

Now, we can find the total area of the trapezoid-shaped tabletop by adding the area of the rectangle and the two right triangles:
Total area = 288 square inches + 36 square inches = 324 square inches

Therefore, the correct answer is not provided in the options given.
Mk. May I say your dumb side shows right now.
I apologize if my previous response was unclear or confusing. If you have any further questions or need clarification, please feel free to ask. I'm here to help.