Question

Find the area of this figure! (Don’t give me a big explanation, i have 30 mins to get this ixl to 90, currently at 74)

Answer 1

315 m²

Explanation:

As this figure may seem complicated, we can split it into four separate figures.

Area

• Area of vertical rectangle + Area of left horizontal rectangle + Area of right horizontal rectangle + Area of triangle
• 6 x 10 + (9 + 6) x (19 - 10) + 18 x 5 + 1/2 x 12 x (18 + 9 + 6 - 17 - 11)
• 60 + 15 x 9 + 90 + 6 x 5
• 60 + 135 + 90 + 30
• 180 + 135
• 315 m²

Answer 2

315 m²

area of rec + area of rec + area of rec + area of triangle

⇒ length + width + length + width + length + width + 1/2 * base * height

⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5

⇒ 90 + 30 + 81 + 114

⇒ 315 m²