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2 find the area of the figure.

Question

2 find the area of the figure.

Explanation:

Step1: Calculate area of top rhombus

The rhombus has side length $8$ ft and height $6.5$ ft. Area of a parallelogram (rhombus is a type of parallelogram) is $\text{base} \times \text{height}$.
$\text{Area}_1 = 8 \times 6.5 = 52$ $\text{ft}^2$

Step2: Calculate area of bottom trapezoid

The trapezoid has parallel sides $20$ ft and $15$ ft, height $16$ ft. Area of a trapezoid is $\frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height}$.
$\text{Area}_2 = \frac{1}{2} \times (20 + 15) \times 16 = \frac{1}{2} \times 35 \times 16 = 280$ $\text{ft}^2$

Step3: Sum the two areas

Total area is the sum of the rhombus and trapezoid areas.
$\text{Total Area} = 52 + 280$

Answer:

$332$ square feet