1.

The side of a square is increased by 18 percent. Calculate the change in the area of the square?1). 40% increase2). 39.24% increase3). 35% decrease4). 39.24% decrease

Answer»

Let the SIDE of the SQUARE be X cm

Area of the square = X2

CHANGED side of the square = X + 0.18 × X = 1.18X

Area of the changed square = 1.18X × 1.18X = 1.3924X2

Change in the area = 1.3924X2 – X2 = 0.3924X2

Percentage change in area = 39.24%

∴ The area of the square INCREASES by 39.24%


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