Question

perimeter, area, and volume
area of a piecewise rectangular figure
find the area of the figure. (sides meet at right angles.)
$\boldsymbol{ft^2}$

Explanation:

Step1: Split figure into 2 rectangles

We divide the shape into a top rectangle and a bottom rectangle.

Step2: Calculate top rectangle area

Top rectangle: width $3\ \text{ft}$, height $3\ \text{ft}$.
Area: $3 \times 3 = 9\ \text{ft}^2$

Step3: Calculate bottom rectangle width

Bottom rectangle width: $2 + 3 + 2 = 8\ \text{ft}$

Step4: Calculate bottom rectangle area

Bottom rectangle: width $8\ \text{ft}$, height $3\ \text{ft}$.
Area: $8 \times 3 = 24\ \text{ft}^2$

Step5: Sum the two areas

Total area = $9 + 24 = 33\ \text{ft}^2$

Answer:

$33$