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

What Is The Area In Square Meters Of The Shaded Part Of The Rectangle Below class=

Sagot :

Answer:

45.5 m²

Step-by-step 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

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