Question

3. When each side of a square is reduced by 3 metres the area becomes 64 square metres.
Find the side of original square.​

Answer 1

Step-by-step explanation:

$let \: side \: ofsquare \: be \: x \\ \\ side \: of \: square \: is \: reduced \: by \: 3 \\ side \: becomes \: (x - 3) \\ \\ area = {(x - 3)}^{2} = 64 \\ \\ {x}^{2} - 6x + 9 = 64 \\ \\ {x}^{2} - 6x - 55 = 0 \\ \\ {x}^{2} - 11x + 5x - 55 = 0 \\ \\ x(x - 11) + 5(x - 11) = 0 \\ \\ (x + 5)(x - 11) = 0 \\ \\ x = 11 \: and \: x = - 5 \\ \\ - 5 \: is \: not \: possible..... \\ \\ so \: \: x = 11cm$

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Answer 2

Answer:

11 meters

Step-by-step explanation:

(x-3) 2 = 64

x-3 = 8

x=8+3 = 11 metres