Question

what is the area of this figure? square kilometers

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle with dimensions 8 km by 5 km and another with dimensions 4 km by 2 km.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 8$ km and width $w = 5$ km, $A_1=8\times5 = 40$ km².

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 4$ km and width $w = 2$ km, $A_2=4\times2=8$ km².

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles, $A = A_1+A_2=40 + 8=48$ km².

Answer:

48