Question

What is the area of this figure? ​

Answer 1

44 square units

Explanation:

We can split the figure into 4 separate figures :

1. Left triangle
2. Right triangle
3. Rectangle
4. Bottom right triangle

Area of the left triangle

• Area = 1/2bh
• 1/2 x 4 x 3
• 6 square units [A₁]

Area of the right triangle

• It has the same lengths for base and height as the left triangle
• A₁ = A₂
• 6 square units [A₂]

Area of the rectangle

• Area = lb
• 8 x 3
• 24 square units [A₃]

Area of the right triangle

• Area = 1/2bh
• 1/2 x 8 x 2
• 8 square units [A₄]

Area of the figure

• A₁ + A₂ + A₃ + A₄
• 6 + 6 + 24 + 8
• 30 + 14
• 44 square units