Question

“A chess board contains 64 equal squares and the area of each square is 6.25 cm2. A border round the board is 2 cm wide. Formulate the quadratic equation to find length of the side of chess board”.​

Answer 1

Step-by-step explanation:

Let the length of the side of the chess board be x cm. Then,

Area of 64 squares = (x−4) 2

Therefore,

(x−4) 2

=64×6.25x 2 −8x+16=400

x 2 −8x−384=0x 2 −24x+16x−384=0

(x−24)(x+16)=0

x=24 cm

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Answer 2

Step-by-step explanation:

side length of the square board= x

Area of one square in the chess board = 6.25 cm²

Area of 64 squares = 64 x 62.5

(x – 4)² = 400

(x – 4) = √400

(x – 4) = √20 x 20

x – 4 = 20

x = 20 + 4

x = 24 cm