What is the area of this figure? Enter your answer in the box. m² 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.

81 square meters

Step-by-step explanation:

So you can split this figure into one parallelogram (on the bottom) and one triangle (on the top). Find the area of each and then add them together.

The area of a parallelogram is always just length * width, so in this case that would be 9 * 5 = 45 square meters.

Next, the area of a triangle is base * height / 2, so before you can solve you have to find the length of the base.

Going back to the parallelogram, the sides opposite each other are always equal, meaning that if the bottom has a length of 9, the top also has a length of 9.

This means that the top of the parallelogram, which is also the base of the triangle, has a length of 9 m. Now, plug those numbers into the formula for area of a triangle, so:

9 * 8 / 2 = 72 / 2 = 36 square m.

The last step is to add the two areas together:

45 + 36 = 81 square meters.

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}