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 has dimensions 2 m by 8 m and the other has dimensions 5 m by 5 m.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 8$ m and width $w = 2$ m, the area $A_1=8\times2=16$ $m^{2}$.

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 5$ m and width $w = 5$ m, the area $A_2 = 5\times5=25$ $m^{2}$.

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles, so $A=A_1 + A_2=16 + 25=41$ $m^{2}$.

Answer:

41