Regularly shaped figures — lesson. Science State Board, Class 7.

PDF chapter test TRY NOW

Solved examples to find the area

1. Calculate the area of \(5\) squares having the sides of \(2\ m\) each.

Side (\(a\)) \(=\) \(2\ m\)

\begin{array}{l} Area of a square = a \times a \\ = 2 \times 2 \\ = 4 m^{2} \\ Area of 5 squares = 4 m^{2} \times 5 \\ = 20 m^{2} \end{array}

The area of \(5\) squares on each side of \(2\ m\) is \(20\ m^2\).

2. Calculate the area of a rectangle of \(20\ m\) length and \(8\ m\) breadth.

Length \(=\) \(20\ m\)

Breadth \(=\) \(8\ m\)

\begin{array}{l} Area of rectangle = l \times b \\ = 20 \times 8 \\ = 160 m^{2} \end{array}

Therefore, the area of the rectangle is \(160\) \(m^2\).

3. Find the area of a circle whose radius is \(6\ m\). Take

π = \frac{22}{7}

and round off the answer to two decimal places.

Radius (\(r\)) \(=\) \(6\ m\)

\begin{array}{l} Area of circle = π \times r^{2} \\ = \frac{22}{7} \times 6 \times 6 \\ = 113.14 m^{2} \end{array}

The circle having a radius of \(6\ m\) has an area of \(113.14\) \(m^2\).

4. Determine the area of a triangle whose base is \(4\ m\) and height is \(6\ m\).

Base \(b\) \(=\) \(4\ m\)

Height \(h\) \(=\) \(6\ m\)

\begin{array}{l} Area of triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 4 \times 6 \\ = 12 m^{2} \end{array}

The area of the triangle is found to be \(12\) \(m^2\).

Did you find an error?

3. Regularly shaped figures