Question

find the area of the figure. the figure is not drawn to scale. 15 m 2 m 9 m 7 m

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle has dimensions 9m (height) and 7m (width), and the other has dimensions 2m (height) and (15 - 7)=8m (width).

Step2: Calculate the area of the first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with $l = 9m$ and $w = 7m$, $A_1=9\times7 = 63m^{2}$.

Step3: Calculate the area of the second rectangle

For the second rectangle with $l = 2m$ and $w=(15 - 7)=8m$, $A_2=2\times8 = 16m^{2}$.

Step4: Calculate the total area

The total area of the figure $A=A_1 + A_2$. So $A=63+16=79m^{2}$.

Answer:

$79m^{2}$