Question

What is the area of this figure?

Answer 1

Area of left triangle

• 1/2BH
• 1/2(21)(12+9-6)
• 1/2(21)(15)
• 315/2
• 157.5m²

Area of right triangle

• 1/(9+19-5)(9)
• 1/2(23)(9)
• 207/2
• 103.5m²

Area of centre rectangle

• LB
• 9(19)
• 171m²

Area of left rectangle

• 8(5)
• 40m²

Total area

• 40+171+103.4+157.5
• 472.0m²

Answer 2

472 m²

Explanation:

Divide the shapes into 2 rectangles and 2 triangles (see attached image).

Rectangle 1

Area of a rectangle = width × length

= 5 × 8

= 40 m²

Rectangle 2

Area of a rectangle = 9 × (6 + 8 + 5)

= 9 × 19

= 171 m²

Triangle 3

Area of a triangle = 1/2 × base × height

= 1/2 × (12 + 9 - 6) × 21

= 1/2 × 15 × 21

= 1/2 × 315

= 157.5 m²

Triangle 4

Area of a triangle = 1/2 × 9 × height

= 1/2 × 9 × (9 + 5 + 8 + 6 - 5)

= 1/2 × 9 × 23

= 1/2 × 207

= 103.5 m²

Total Area

Total area = 40 + 171 + 157.5 + 103.5

= 472 m²