Question

what is the area of the shaded region?
33 m
19 m
18 m
32 m
write your answer as a whole number or
a decimal rounded to the nearest
hundredth.

Explanation:

Step1: Calculate area of large triangle

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. For the large triangle, base = 32 m and height = 33 m.
So, $A_{large} = \frac{1}{2} \times 32 \times 33$
$A_{large} = 16 \times 33 = 528$ $m^2$

Step2: Calculate area of small triangle

For the small triangle, base = 18 m and height = 19 m.
Using the same area formula, $A_{small} = \frac{1}{2} \times 18 \times 19$
$A_{small} = 9 \times 19 = 171$ $m^2$

Step3: Find area of shaded region

The area of the shaded region is the area of the large triangle minus the area of the small triangle.
$A_{shaded} = A_{large} - A_{small}$
$A_{shaded} = 528 - 171 = 357$ $m^2$

Answer:

357