Answer:
192 square inches
Step-by-step 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.
[tex]x=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64}=8[/tex]
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!
