Question

find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Split into two rectangles

We can divide the figure into a larger top rectangle and a smaller bottom rectangle. The height of the top rectangle is $7 - 2 = 5$ ft, length is 9 ft. The bottom rectangle has length 5 ft, height 2 ft.

Step2: Calculate area of top rectangle

$\text{Area}_1 = 9 \times 5 = 45$ $\text{ft}^2$

Step3: Calculate area of bottom rectangle

$\text{Area}_2 = 5 \times 2 = 10$ $\text{ft}^2$

Step4: Sum the two areas

$\text{Total Area} = \text{Area}_1 + \text{Area}_2$

Answer:

$55$ $\text{ft}^2$