Question

What is the area of this figure? Enter your answer in the box. A parallelogram with a right triangle created inside it with a short leg length of 5 m and a long leg length of 9 m. Two triangles attached to the top of the parallelogram are touching and share a long leg length of 8 m.

Answer 1

To find the area of the figure, we need to calculate the area of the parallelogram and the triangle separately and then add them together. The area of the parallelogram is 45 m² and the area of the triangle is 22.5 m². Therefore, the total area of the figure is 67.5 m².

Step-by-step explanation:

To find the area of the figure, we need to calculate the area of the parallelogram and the triangle separately and then add them together.

The area of a parallelogram can be found by multiplying the base length by the height. In this case, the base length is 9 m and the height is the short leg length of the triangle, which is 5 m. So, the area of the parallelogram is 9 m * 5 m = 45 m².

The area of a triangle can be found by using the formula: (1/2) * base * height. In the triangle created inside the parallelogram, the base is the long leg length of the triangle, which is 9 m, and the height is the short leg length, which is 5 m. So, the area of the triangle is (1/2) * 9 m * 5 m = 22.5 m².

To find the total area of the figure, we add the area of the parallelogram and the area of the triangle: 45 m² + 22.5 m² = 67.5 m².

Answer 2

The are of the figue is 178 m ^2