Question

A square has a triangular hole in it. What is the area of the figure?

9 in. 3 in.
76.5 in 2
89 in 2
72 in 2
3 in.
9 in.

Answer 1

76.5in²

Explanation:

First we will find the area of the square. This is done by multiplying the side length (9in) by itself.

`9 * 9 = \boxed{81}`

The area of the square is 81in².

Next we will find the area of the triangular hole. We can use the formula
`(1)/(2)bh`, where b is the base of the triangle (3) and h is the height of the triangle (3).

`(1)/(2)bh\\(1)/(2)(3)(3)\\(9)/(2)\\\boxed{4.5}`

The area of the triangle is 4.5in².

Now we can find the area of the figure by subtracting the area of the square and the area of the triangular hole.

`81 - 4.5 = \boxed{76.5}`

The area of the figure is 76.5in².

That is the answer

- Kan Academy Advance