Question

homework - area, perimeter, and c
find the area of the shape below.
12 in
9 in

Explanation:

Step1: Recall the formula for the area of a triangle.

The formula for the area of a triangle is \( A = \frac{1}{2} \times \text{base} \times \text{height} \).

Step2: Identify the base and height from the diagram.

From the diagram, the base of the triangle is \( 9 \) inches and the height is \( 12 \) inches.

Step3: Substitute the values into the formula.

Substitute \( \text{base} = 9 \) and \( \text{height} = 12 \) into the formula: \( A = \frac{1}{2} \times 9 \times 12 \).

Step4: Calculate the area.

First, multiply \( 9 \) and \( 12 \): \( 9 \times 12 = 108 \). Then, multiply by \( \frac{1}{2} \): \( \frac{1}{2} \times 108 = 54 \).

Answer:

The area of the triangle is \( 54 \) square inches.