what is the area of this figure? square kilometers

Answer

Explanation:

Step1: Divide the figure into rectangles

We can divide the figure into two rectangles. One rectangle has dimensions 5 km by 10 km and the other has dimensions (7 - 2) km by 3 km.

Step2: Calculate the area of the first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 10$ km and width $w = 5$ km, $A_1=10\times5 = 50$ $km^{2}$.

Step3: Calculate the area of the second rectangle

The length of the second rectangle is $l = 7 - 2=5$ km and width $w = 3$ km. So $A_2 = 5\times3=15$ $km^{2}$.

Step4: Calculate the total area

The total area $A$ of the figure is the sum of the areas of the two rectangles. $A=A_1 + A_2=50+15 = 65$ $km^{2}$.