Question

what is the area of this figure?
7 m
4 m
2 m
3 m
9 m
3 m
2 m
6 m
square meters

Explanation:

Step1: Split figure into 3 rectangles

We can divide the shape into three separate rectangles:

1. Top large rectangle: width = 7 m, height = $9 - 3 - 2 = 4$ m
2. Left small rectangle: width = 3 m, height = 3 m
3. Bottom middle rectangle: width = $7 - 3 = 4$ m, height = 2 m

Step2: Calculate area of each rectangle

• Area of top rectangle: $7 \times 4 = 28$ m²
• Area of left rectangle: $3 \times 3 = 9$ m²
• Area of bottom rectangle: $4 \times 2 = 8$ m²

Step3: Sum all rectangle areas

Add the three areas together: $28 + 9 + 8$

Answer:

55 square meters