If each side of a square is increased by 50% the ratio of the area of the resulting square to the area of the given square is__________?

A. 5:4
B. 9:4
C. 4:5
D. 4:9

Explanation:

Let original side be x metres, then area = x2 Sq.m

New side =(150% of x)m = (150/100 × x)m =(3x/2)m

New area =(3x/2 x 3x/2)m2 = 9x2/4 m2

Required ratio of area = 9x2/4 : x2 = 9:4

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