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

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

ScanSolve AI Answer

Answer

150cm2150 cm^2

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

The formula for the area of a triangle is
A=12×base×height.A = \frac{1}{2} \times base \times height.

Step 2: Substitute the given values into the formula.
A=12×20cm×15cm.A = \frac{1}{2} \times 20\,cm \times 15\,cm.

Step 3: Calculate the product of base and height.
20cm×15cm=300cm2.20\,cm \times 15\,cm = 300\,cm^2.

Step 4: Multiply by 12\frac{1}{2}.
A=12×300cm2=150cm2.A = \frac{1}{2} \times 300\,cm^2 = 150\,cm^2.

150 \mathrm{cm^2}

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Still have questions?

Quick Answer

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

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

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 Answer
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