Question

what is the area of the shaded region? 33 ft 28 ft 16 ft 14 ft 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 = 33 ft and height = 28 ft.
$A_{large} = \frac{1}{2} \times 33 \times 28$
$A_{large} = 16.5 \times 28 = 462$ square feet.

Step2: Calculate area of small triangle

For the small triangle, base = 16 ft and height = 14 ft.
$A_{small} = \frac{1}{2} \times 16 \times 14$
$A_{small} = 8 \times 14 = 112$ square feet.

Step3: Subtract areas to get shaded region

The area of the shaded region is the area of the large triangle minus the area of the small triangle.
$A_{shaded} = A_{large} - A_{small}$
$A_{shaded} = 462 - 112 = 350$

Answer:

350