Ex.6.4 Q6 Squares and Square Roots - NCERT Maths Class 8

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Question

Find the length of the side of a square whose area is \(441\;\rm{m^2}\) .

Text Solution

What is known?

Area of the square

What is unknown?

Length of the side of a square

Reasoning:

Since, area of a square is equals to square of its side.

The length of the side can be calculated by finding the square root of the area.

What is known?

Area of the square

What is unknown?

Length of the side of a square

Steps:

Area of the square =side of a square \( \times \) side of a square

\[\begin{align}441\;\rm{m^2} = \text{(side of a square)}^2\end{align}\]

                                                         

\({\text{Side of a square}} = \;\sqrt {441}= 21\;{\rm{m}}\)