Question

what is the area of this figure?
2 ft
5 ft
2 ft
3 ft
16 ft
4 ft
8 ft
square feet

Explanation:

Step1: Split figure into 3 rectangles

We divide the green shape into three separate rectangles:

1. Top rectangle: width = 2 ft, height = 5 ft
2. Middle rectangle: width = $2+2=4$ ft, height = 3 ft
3. Bottom rectangle: width = 8 ft, height = 8 ft

Step2: Calculate area of each rectangle

Area of a rectangle = $\text{width} \times \text{height}$

• Top: $2 \times 5 = 10$ sq ft
• Middle: $4 \times 3 = 12$ sq ft
• Bottom: $8 \times 8 = 64$ sq ft

Step3: Sum all areas

Add the three areas together:
$10 + 12 + 64 = 80$ sq ft

Answer:

80 square feet