1.

“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»

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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