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Area Problems

Area Problems
The ratio of the area of a square to that of the square drawn on its diagonal is

3:1
1:2
2;3
4:1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

atio =  a 2 2 a 2

Area Problems
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

10%
10.08%
28%
20%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let original length = x and original breadth = y. Decrease in area = xy - ❨ 80 x x 90 y ❩ 100 100 = ❨ xy - 18 xy ❩ 25 = 7 xy. 25 ∴ Decrease % = ❨ 7 xy x 1 x 100 ❩% = 28%

Area Problems
The radius of a circle has been reduced from 9 cm to 7 cm . the appropriate percentage decrease in area is?

65.5 %
31.5 %
34.5 %
39.5 %

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Original area = (22/7) x 9 x 9 cm2New area = (22/7) x 7 x 7 cm2? Decrease = 22/7 x [(9)2 -(7)2] cm2=(22/7) x 16 x 2 cm2Decrease percent = [(22/7 x 16 x 2) /( 7/22 x 9 x 9)] x 100 %= 39.5 %

Area Problems
The length of a rectangular plot is twice of its width. If the length of a diagonal is 9?5 meters, the perimeter of the rectangular is?

27 m
None of these
81 m
54 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = y meters,Then, length = 2y meters? Diagonal = ?y2 + (2y)2 = ?5y2 metersSo, ?5y2 = 9 ?5? y= 9Thus, breadth = 9 m and length = 18 m? Perimeter = 2 (18 + 9) m = 54m.

Area Problems
The area of the sector of a circle, whose radius is 12 meters and whose angle at the centre is 42, is?

39.6 sq. meters
79.2 sq. meters
52.8 sq. meters
26.4 sq. meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the sector = [(22/7) x 12 x 12] x [42°/360°] m2 = 52.8 m2

Area Problems
One side of a parallelogram is 14 cm. Its distance from the opposite side is 16 cm. The area of the parallelogram is?

210 sq. cm
224 sq. cm
56? sq. cm
112 sq. cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of parallelogram = Side of parallelogram x distance from the opposite side= 14 x 16 cm2= 224 cm2

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