What is the area of the figure below?

Hello!

Let's solve each part on their own.

First, the right triangle on the left. The formula for the area of a triangle is base * height * 1/2. We know the dimensions of the triangle - the base is 6 inches, and the height also 6 inches. Therefore, just substitute and solve.

6 * 6 * 1/2 = 36 * 1/2 = 18 square inches

Next, the square in the center. The formula for the area of a square is length squared. We know one side length is 6 inches, so substitute and solve.

6 ^ 2 = 36 square inches

Finally, the triangle on the right. Again, the formula is bh1/2. The base in this case is also 6 inches, and the height is 6 inches as well.

6 * 6 * 1/2 = 18 square inches

Now, we have all our dimensions. All that's left is to add them all together.

18 + 36 + 18 = 72 square inches.

Hope this helps!