Question

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

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle has dimensions 5 ft by (9 - 5)=4 ft and the other has dimensions 2 ft by 5 ft.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 5$ ft and width $w = 4$ ft, the area $A_1=5\times4 = 20$ square - feet.

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 5$ ft and width $w = 2$ ft, the area $A_2=5\times2=10$ 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 $A=20 + 10=30$ square - feet.

Answer:

30