what is the area of this figure? square meters

Explanation:

Step1: Divide the figure into rectangles

We can divide the figure into two rectangles. One rectangle has dimensions 5m by 9m and the other has dimensions (9 - 5)m by (17 - 9+4)m.

Step2: Calculate area of first rectangle

The area of a rectangle is $A = l\times w$. For the first rectangle with length $l = 9m$ and width $w = 5m$, $A_1=9\times5 = 45m^{2}$.

Step3: Calculate dimensions of second rectangle

The length of the second rectangle is $9 - 5=4m$ and the width is $17 - 9 + 4=12m$.

Step4: Calculate area of second rectangle

Using the area - formula $A = l\times w$, for the second rectangle with $l = 4m$ and $w = 12m$, $A_2=4\times12 = 48m^{2}$.

Step5: Calculate total area

The total area of the figure $A=A_1 + A_2$. So $A=45+48=93m^{2}$.

Answer:

93