Question

what is the area of this figure?
2 km
6 km
3 km
15 km
9 km
5 km
square kilometers

Explanation:

Step1: Split figure into two rectangles

We can divide the shape into a lower rectangle (width 5 km, height 9 km) and an upper rectangle (width 2 km, height $15-9=6$ km).

Step2: Calculate area of lower rectangle

Area = width × height
$\text{Area}_1 = 5 \times 9 = 45$ km²

Step3: Calculate area of upper rectangle

Area = width × height
$\text{Area}_2 = 2 \times 6 = 12$ km²

Step4: Sum the two areas

Total area = $\text{Area}_1 + \text{Area}_2$
$\text{Total Area} = 45 + 12$

Answer:

57 square kilometers