High School

We appreciate your visit to Work out the area of this compound shape The shape is composed of A rectangle with a width of 12 cm and a height of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Work out the area of this compound shape.

The shape is composed of:
- A rectangle with a width of 12 cm and a height of 10 cm.
- A triangle with a base of 12 cm and a height of 8 cm.

Answer :

To work out the area of the compound shape, we need to calculate the area of each part separately and then add them together. The shape is composed of a rectangle and a triangle.

  1. Calculate the area of the rectangle:

    The formula for the area of a rectangle is:

    [tex]\text{Area of rectangle} = \text{width} \times \text{height}[/tex]

    Given:

    • Width = 12 cm
    • Height = 10 cm

    Substitute the values into the formula:

    [tex]\text{Area of rectangle} = 12 \times 10 = 120 \text{ cm}^2[/tex]

  2. Calculate the area of the triangle:

    The formula for the area of a triangle is:

    [tex]\text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height}[/tex]

    Given:

    • Base = 12 cm
    • Height = 8 cm

    Substitute the values into the formula:

    [tex]\text{Area of triangle} = \frac{1}{2} \times 12 \times 8 = 48 \text{ cm}^2[/tex]

  3. Add the two areas together:

    [tex]\text{Total area} = \text{Area of rectangle} + \text{Area of triangle}[/tex]

    Substitute the previously calculated areas:

    [tex]\text{Total area} = 120 + 48 = 168 \text{ cm}^2[/tex]

Thus, the area of the compound shape is 168 cm².

Thanks for taking the time to read Work out the area of this compound shape The shape is composed of A rectangle with a width of 12 cm and a height of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada