Question

What is the area, in square meters, of the shaded part of the rectangle below?

Answer 1

Area of trapezoid:-

• 1/2(sum of parallel side)×Height
• 1/2(10+17)(13)
• 1/2(27)(13)
• 13.5(13)
• 175.5m²

Area of triangle:-

• 1/2BH
• 1/2(13)(17-10)
• 1/2(13)(7)
• 91/2
• 45.5m²

Which part is shaded not said so both shaded regions area calculated

Answer 2

45.5 m²

Explanation:

Area (Shaded) = Area (Rectangle) - Area (Trapezoid)

• Area (Shaded) = lb - 1/2 x (a + b) x h
• Area (Shaded) = 17 × 13 - 1/2 × (10 + 17) × 13
• Area (Shaded) = 13 (17 - 27/2)
• Area (Shaded) = 13 × 7/2
• Area (Shaded) = 91/2
• Area (Shaded) = 45.5 m²