Question

what is the area of this figure? 14 km 2 km 3 km 2 km 4 km 2 km 7 km 6 km square kilometers

Explanation:

Step1: Divide the figure into rectangles

We can divide the compound - figure into three rectangles.

Step2: Calculate the area of the first rectangle

The first rectangle has length \(l_1 = 7\) km and width \(w_1=6\) km. The area formula for a rectangle is \(A = l\times w\). So, \(A_1=7\times6 = 42\) \(km^2\).

Step3: Calculate the area of the second rectangle

The second rectangle has length \(l_2 = 4\) km and width \(w_2 = 2\) km. So, \(A_2=4\times2=8\) \(km^2\).

Step4: Calculate the area of the third rectangle

The third rectangle has length \(l_3=3\) km and width \(w_3 = 2\) km. So, \(A_3=3\times2 = 6\) \(km^2\).

Step5: Calculate the total area

The total area \(A\) of the compound - figure is \(A=A_1 + A_2+A_3\). So, \(A=42 + 8+6=56\) \(km^2\).

Answer:

56