1.

A rectangle of Width 8 centimetres is cut off from a square sheet along its side. The remaining rectangular portion has an area 84 sq. metres. Calculate the side of the square.

Answer»

Let the side of square = x

Sides of rectangle = x, x – 8

Area = x(x – 8) = 84

x2 – 8x = 84

x2 – 8x + 16 = 84 + 16

(x – 4)2 = 100,

x – 4 = 10, x = 14

Side of square = 14 centimetre



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