Question

what is the area, in square centimeters, of the shape below? 3.5 cm 6.2 cm

Explanation:

Step1: Recall the formula for the area of a triangle

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

Step2: Identify the base and height

From the diagram, the base of the triangle is \( 6.2 \, \text{cm} \) and the height is \( 3.5 \, \text{cm} \).

Step3: Substitute the values into the formula

Substitute \( \text{base} = 6.2 \) and \( \text{height} = 3.5 \) into the formula:
\[
A = \frac{1}{2} \times 6.2 \times 3.5
\]

Step4: Calculate the product

First, calculate \( 6.2 \times 3.5 \):
\[
6.2 \times 3.5 = 21.7
\]
Then, multiply by \( \frac{1}{2} \):
\[
A = \frac{1}{2} \times 21.7 = 10.85
\]

Answer:

The area of the triangle is \( 10.85 \) square centimeters.