Question

what is the area of the shaded region?
13 m
6 m
6 m
13 m
write your answer as a whole number or a decimal rounded to the nearest hundredth.

Explanation:

Step1: Calculate area of large triangle

The large triangle is a right triangle with legs of 13 m. The area of a right triangle is $\frac{1}{2} \times \text{base} \times \text{height}$.
$\text{Area}_{\text{large}} = \frac{1}{2} \times 13 \times 13 = \frac{169}{2} = 84.5 \, \text{m}^2$

Step2: Calculate area of small triangle

The small triangle is a right triangle with legs of 6 m.
$\text{Area}_{\text{small}} = \frac{1}{2} \times 6 \times 6 = \frac{36}{2} = 18 \, \text{m}^2$

Step3: Subtract small area from large area

The shaded area is the difference between the two areas.
$\text{Area}_{\text{shaded}} = 84.5 - 18 = 66.5 \, \text{m}^2$

Answer:

$66.5$ square meters