Question

what is the area of this figure? square meters

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle with dimensions 9 m by 6 m and another with dimensions 8 m by 3 m.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 9$ m and width $w = 6$ m, the area $A_1=9\times6 = 54$ $m^{2}$.

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 8$ m and width $w = 3$ m, the area $A_2=8\times3=24$ $m^{2}$.

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 $A=54 + 24=78$ $m^{2}$.

Answer:

78