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Calculate the area of the shaded portion. Take C/A = 22/7.

Mathematics

ScanSolve AI Answer

Answer

150cm2150 \mathrm{cm}^2

Step-by-step solution

4 steps
  1. The shaded region is a triangle with base 20 cm20\,\mathrm{cm} and perpendicular height 15 cm15\,\mathrm{cm}.

    The formula for the area of a triangle is

    A=12×base×height.A = \frac{1}{2} \times \text{base} \times \text{height}.
  2. Substitute the given values into the formula.

    A=12×20 cm×15 cm.A = \frac{1}{2} \times 20\,\mathrm{cm} \times 15\,\mathrm{cm}.
  3. Calculate the product of base and height.

    20 cm×15 cm=300 cm2.20\,\mathrm{cm} \times 15\,\mathrm{cm} = 300\,\mathrm{cm}^2.
  4. Multiply by 12\frac{1}{2}.

    A=12×300 cm2=150 cm2.A = \frac{1}{2} \times 300\,\mathrm{cm}^2 = 150\,\mathrm{cm}^2.

    150 cm^2

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