# math

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The sides of a square with an area of 49 cm2 will be reduced by a scale factor of 5/8.
Determine the area of the reduced square to the nearest square centimetre.

• math -

Side of square :

a = sqrt ( 49 ) = 7 cm

Side of new square :

a1 = 7 * 5 / 8 = 35 / 8 = 4.375 cm

Area of new square :

A1 = ( 35 / 8 ) ^ 2 = 1225 / 64 = 4.375 ^ 2 = 19,140625 cm ^ 2

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