Question

find the area of the figure. the figure is not drawn to scale.
8 ft
2 ft
10 ft
3 ft

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle has dimensions 8 ft by 2 ft and the other has dimensions 3 ft by (10 - 2)=8 ft.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 8$ ft and width $w = 2$ ft, $A_1=8\times2 = 16$ square - feet.

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 8$ ft and width $w = 3$ ft, $A_2=8\times3=24$ square - feet.

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles, $A=A_1 + A_2$. So $A=16 + 24=40$ square - feet.

Answer:

40 square - feet