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

Related Mcqs:

The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
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B. 7 : 16
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D. None of these
A big rectangular plot of area 4320 Sq.m is divided into 3 square shaped smaller plots by fencing parallel to the smaller side of the plot. However, some area of land was still left as a square plot could not be formed. So 3 more square shaped plots were formed by fencing parallel to the longer side of the original plot. Such that no area of the plot was left a surplus. What are the dimensions of the original plot?
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The area of a rectangle is thrice that of a square. The length of the rectangle is 40 cm and the breadth of the rectangle is (3/2) times of the square. The side of the square in cm is__________?
A. 15
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C. 30
D. 60
The length and breadth of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of the square by:________?
A. 42%
B. 62%
C. 82%
D. none of these
The diagonal of a square is 4√2cm. The diagonal is another square whose area is double that of the first square is__________?
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D. 4√2cm
Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
A. 425
B. 476
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If the side of a square is increased by 25% then it’s area is increased by_________?
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B. 40.5%
C. 55%
D. 56.25%
If the side of a square is increased by 25 % then how much percent does it’s area get increased:
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If the side of a square is increased by 30 %. Its area is increased by:_________?
A. 9 %
B. 30 %
C. 60 %
D. 69 %
If the side of a square is increased by 25 %. Then its area is increased by:__________?
A. 25 %
B. 55%
C. 40.5 %
D. 56.25 %