Question

what is the area, in square inches, of the shape below? 5.8 in 6.7 in

Explanation:

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

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

Step2: Identify the base and height from the diagram.

From the diagram, the base \( b = 6.7 \) inches and the height \( h = 5.8 \) inches.

Step3: Substitute the values into the formula.

Substitute \( b = 6.7 \) and \( h = 5.8 \) into the formula:
\[
A = \frac{1}{2} \times 6.7 \times 5.8
\]
First, calculate \( 6.7 \times 5.8 \):
\[
6.7 \times 5.8 = 38.86
\]
Then, multiply by \( \frac{1}{2} \):
\[
A = \frac{1}{2} \times 38.86 = 19.43
\]

Answer:

The area of the triangle is \( 19.43 \) square inches.