Question

What is the are of the given figure.

Answer 1

192 square inches

Explanation:

You can separate this figure into two separate figures; a triangle with a height of 6 inches and an unknown base, and a rectangle with a height of 9 inches and an unknown width. The triangle is conveniently separated into two right triangles, which you can use the Pythagorean Theorem to find the base of.

`x=√(10^2-6^2)=√(100-36)=√(64)=8`

This means that the base length of the large triangle is 8*2=16. With this, you can now calculate the area of everything. The area of the large triangle is 16*6/2=48 square inches, while the area of the rectangle is 9*16=144. Adding these together, you get a total area of 192 square inches. Hope this helps!