Question

what is the area of this figure?
2 cm
4 cm
7 cm
11 cm
7 cm
9 cm
square centimeters

Explanation:

Step1: Split into two rectangles

We can divide the figure into a larger bottom rectangle and a smaller top rectangle.

Step2: Calculate bottom rectangle area

The bottom rectangle has length $9$ cm and width $7$ cm.
Area: $9 \times 7 = 63$ cm²

Step3: Calculate top rectangle dimensions

The top rectangle has width $2$ cm. Its height is $11 - 7 = 4$ cm.

Step4: Calculate top rectangle area

Area: $2 \times 4 = 8$ cm²

Step5: Sum the two areas

Total area = bottom area + top area

Answer:

$63 + 8 = 71$ square centimeters