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

Answer:

76.5in²

Step-by-step 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 $\frac{1}{2}bh$, where b is the base of the triangle (3) and h is the height of the triangle (3).

$\frac{1}{2}bh\\\frac{1}{2}(3)(3)\\\frac{9}{2}\\\boxed{4.5}$

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