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

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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

$12$

$m^2$ .

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3. Regularly shaped figures

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