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What is the are of the given figure.

What is the are of the given figure.-example-1
User KSR
by
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1 Answer

3 votes

Answer:

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!

User Mari Faleiros
by
6.1k points
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