Question

If the side of a chess board is smaller than its perimeter by 42 cm then find the area of the chess board

Answer 1

14 as because 14×3=56 which is 42 greater than 14

Answer 2

Given:

The side of a chessboard is smaller than its perimeter by 42 cm.

To find:

The area of the chessboard.

Solution:

If the side of a chessboard is smaller than its perimeter by 42 cm, then the area of the chessboard is 196cm².

We can solve the above mathematical problem using the following approach.

A chessboard is in the shape of a square. Let us assume the side of the chessboard as 'x' cm.

So, if the side of the chessboard = x cm;

the perimeter of the chessboard = perimeter of a square = 4×side = 4x cm.

According to the question, the side of the chessboard is smaller than its perimeter by 42 cm.

So, Perimeter - Side = 42 cm

⇒ 4x - x = 42cm

⇒ 3x = 42cm

⇒x=14cm.

Area of the chessboard = Area of a square = side×side = 14×14 = 196 cm².

Therefore, the area of the chessboard is 196cm².