Question

what is the area of this figure?

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle with length 6 km and width 3 km, and another with length 2 km and width 5 - 3 = 2 km.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with $l = 6$ km and $w = 3$ km, $A_1=6\times3 = 18$ km².

Step3: Calculate area of second rectangle

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

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles, $A=A_1 + A_2=18 + 4=22$ km².

Answer:

22 km²