If each side of a square is increased by 25%, find the percentage change in its

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Question
If each side of a square is increased by 25%, find the percentage change in its area.
Options
A. 56.25%
B. 36.25%
C. 16.25%
D. 12.25%

Correct Answer

56.25%

Explanation

Let each side of the square be a. Then, area = . $a^{2}$
New side = $\frac{125 a}{100} = \frac{5 a}{4}$ . New area = ${(\frac{5 a}{4})}^{2}$ = $(\frac{25 a^{2}}{16})$

Increase in area = $\frac{25 a^{2}}{16} - a^{2} = \frac{9 a^{2}}{16}$
Increase% = $[\frac{9 a^{2}}{16} * \frac{1}{a^{2}} * 100]$ % = 56.25%.

Area problems

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Options
A. ay:bx
B. a:b
C. x:y
D. bx:ay

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2. A rectangular grassy plot 110m by 65cm has a gravel path .5cm wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq.mt
Options
A. 680rs
B. 480rs
C. 340rs
D. 320rs

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3. In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by
Options
A. 40/3%
B. 20%
C. 25%
D. 27%

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4. An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?
Options
A. Rs. 4082.40
B. Rs. 1024.21
C. Rs. 2810.6
D. Rs. 3214

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5. The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ?
Options
A. 15 mts
B. 30 mts
C. 24 mts
D. 36 mts

Discuss

6. If the perimeters of a square and a rectangle are the same, then the area a & b enclosed by them would satisfy the condition:
Options
A. a
B. a>b
C. a=b
D. none

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7. The area of a square field is 69696sq.cm..its diagonal will be equal to
Options
A. 373
B. 573
C. 473
D. 673

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8. A rectangular parking space is marked out by painting three of its sides.If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?
Options
A. 126sq.ft
B. 120sq.ft
C. 130sq.ft
D. 135sq.ft

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Options
A. 814
B. 820
C. 840
D. 844

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10. The area of a field in the shape of a trapezium measures 1440sq m. The perpendicular distance between its parallel sides is 24cm. If the ratio of the sides is 5:3, the length of the longer parallel side is:
Options
A. 75
B. 85
C. 95
D. 105

Discuss

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Discussion

If each side of a square is increased by 25%, find the percentage change in its area.

Area problems

Search Results

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Discussion

If each side of a square is increased by 25%, find the percentage change in its area.

Area problems

Search Results

More in Aptitude:

Aptitude

Engineering

Programming

Reasoning

Links

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