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

March 21, 2026Mathematics

ScanSolve AI Answer

March 21, 2026

Answer

$150 cm^2$

Step 1: The shaded region is a triangle with base $20\,\mathrm{cm}$ and perpendicular height $15\,\mathrm{cm}$ .

The formula for the area of a triangle is
$A = \frac{1}{2} \times base \times height.$

Step 2: Substitute the given values into the formula.
$A = \frac{1}{2} \times 20\,cm \times 15\,cm.$

Step 3: Calculate the product of base and height.
$20\,cm \times 15\,cm = 300\,cm^2.$

Step 4: Multiply by $\frac{1}{2}$ .
$A = \frac{1}{2} \times 300\,cm^2 = 150\,cm^2.$

150 \mathrm{cm^2}

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Quick Answer

The shaded region is a triangle with base 20\,cm and perpendicular height 15\,cm.

Asked on March 21, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 21, 2026

Step 1: The shaded region is a triangle with base 20\,cm and perpendicular height 15\,cm. The formula for the area of a triangle is A = (1)/(2) × base × height. Step 2: Substitute the given values into the formula. A = (1)/(2) × 20\,cm × 15\,cm. Step 3: Calculate the product of base and height. 20\,cm × 15\,cm = 300\,cm^2. Step 4: Multiply by (1)/(2). A = (1)/(2) × 300\,cm^2 = 150\,cm^2. 150 cm^2