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 length 9 cm and width 5 cm. Area of rectangle = length×width, so $A_1 = 9\times5=45$ $cm^2$.

Step3: Calculate the area of the second rectangle

The second rectangle has length 3 cm and width 3 cm. So $A_2=3\times3 = 9$ $cm^2$.

Step4: Calculate the area of the third rectangle

The third rectangle has length 3 cm and width 3 cm. So $A_3=3\times3=9$ $cm^2$.

Step5: Calculate the total area

The total area of the figure $A=A_1 + A_2+A_3=45 + 9+9=63$ $cm^2$.

Answer:

$63$ $cm^2$