Question

what is the area of this figure?
4 ft
2 ft
5 ft
8 ft
6 ft
9 ft
square feet

Explanation:

Step1: Split into two rectangles

We can divide the figure into a left large rectangle and a right smaller rectangle.
The left rectangle has width $4$ ft and height $8$ ft. The right rectangle has width $5$ ft and height $6$ ft.

Step2: Calculate area of left rectangle

Area = width × height
$\text{Area}_1 = 4 \times 8 = 32$ square feet

Step3: Calculate area of right rectangle

Area = width × height
$\text{Area}_2 = 5 \times 6 = 30$ square feet

Step4: Sum the two areas

Total area = $\text{Area}_1 + \text{Area}_2$
$\text{Total Area} = 32 + 30 = 62$ square feet

Answer:

62 square feet