Question

A chess board contains 64 equal squares and the area of each square is 12.25 square cm. A border around the board is 3cm wide. Find the length of each side of the board.

Answer 1

$\textbf {Hey there, here is the solution.}$

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STEP 1: Find the total area of the board:

1 square = 12.25 cm²

64 squares = 12.25 x 64 = 784 cm²

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STEP 2: Find the length of the square:

Area = Length x Length

Length² = 784 cm²

Length = √784

Length = 28 cm

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STEP 3: Find the length of the board:

Given that the border is 3 cm wide

Length = 28 + 3 + 3 = 34 cm

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Answer: The length of each side is 34 cm

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⭐$\textbf {Cheers}$⭐

Answer 2

$\underline{\large\bf{\mathfrak{Hallo!}}}$

According to the question,

There are 64 equal squares in a chess board and area of each square is 12.25 cm²

So,

Area of 64 squares in the chess board (Area of whole board) = 12 × 12.25

= 784 cm²

As, we know the chess board is in the form of square.

Therefore,

The area of chess board = (side of chess board)²

Side of the board = ✓784
= 28 cm

As, it is given that there is a border around the chess board of 3 cm

So, by adding 3 cm on both the sides we will get the length of each side of chess board,

Which is equal to 3 + 28 + 3 = 34 cm

Therefore, length of each side of chess board is 34 cm.

$\bf{\mathfrak{Hope \: this \: helps...:)}}$