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 three rectangles.

Step2: Calculate the area of the first rectangle

The first rectangle has dimensions 9 cm by 2 cm. Its area $A_1$ is $A_1 = 9\times2=18$ $cm^2$.

Step3: Calculate the area of the second rectangle

The second rectangle has length $9 - 5 - 5=- 1$ (this is wrong, let's re - divide). We divide the figure into two rectangles. One rectangle with length 9 cm and width 2 cm and another with length 9 cm and width $8 - 2=6$ cm.
The area of the first rectangle $A_1=9\times2 = 18$ $cm^2$.
The area of the second rectangle $A_2=9\times6=54$ $cm^2$.

Step4: Sum up the areas

The total area $A = A_1+A_2=18 + 54=72$ $cm^2$.

Answer:

72