Question

711. A chessboard has an area of 100 square cm. What is the length of each side
of the chessboard?
10 m​

Answer 1

Question:-

A chessboard has an area of 100 square cm. What is the length of each side of the chessboard?

Answer:-

• The side of chessboard (square) is 10 cm.

To find:-

• side of chessboard

Solution:-

• Area of chessboard = 100 cm²
• Length (l) = ?

$\huge{ \purple{ \underline { \mathfrak{ \pink{area = {l}^{2} }}}}}$

Where,

• L is the side of chessboard (square)

According to question,

$\large{ \tt : \implies \: \: \: \: \: {l}^{2} = 100}$

$\large{ \tt : \implies \: \: \: \: \: l = \sqrt{100} }$

$\large{ \tt : \implies \: \: \: \: \: l = 10}$

Hence,

The side of chessboard (square) is 10 cm.

Answer 2

Question

• A chessboard has an area of 100 square cm. What is the length of each side of the chessboard?

⠀

Given

• Area of the chessboard is 100cm².

⠀

Solution

• We know that, the shape of the chessboard is square.

⠀

Therefore,

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Area_{(Square)} = (side)^2 {\bigstar}}}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Area = 100}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {(side)^2 = 100}$

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$\tt:\implies\: \: \: \: \: \: \: \: {side = \sqrt{100}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {side = 10}$

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Hence,

• The length of each side of the chessboard is 10 cm.

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