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Area Problems

Area Problems
The ratios of areas of two squares, one having its diagonal double than the other is

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

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
Find the area of the trapezium, whose parallel sides are 12 cm and 10 cm, and distance between the parallel sides is 14 cm?

186 sq.com
154 sq.com
121 sq.com
164 sq.com

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of trapezium = 1/2 x (Sum of parallel sides) x (Distance between Parallel sides) = 1/2 x (12 + 10) x 14 = 22 x 14/2 = 22 x 7 = 154 sq. cm

Area Problems
The sides of a triangular board are 13 meters, 14 meters and 15 meters. The cost of paining it at the rate of Rs. 8.75 per m 2 is?

Rs. 688.80
Rs. 730.80
Rs. 735
Rs. 722.50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

s = (13 + 14 + 15 ) / 2 = 21, s-a = 8 , s-b = 7, s-c= 6? Area to be painted = ? [s(s-a) (s-b) (s-c)]=? [21 x 8 x 7 x 6] m2= 84 m2? Cost of painting = Rs. (84 x 8.75) = Rs. 735

Area Problems
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

4.04%
2.02%
4%
2%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

100 cm is read as 102 cm. ∴ A1 = (100 x 100) cm2 and A2 (102 x 102) cm2. (A2 - A1) = [(102)2 - (100)2] = (102 + 100) x (102 - 100) = 404 cm2. ∴ Percentage error = ❨ 404 x 100 ❩% = 4.04%

Area Problems
Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is

1.867
1.767
1.567
1.967

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
The area of a trapezium is 384 sq.cm 2. If its parallel sides are in ratio 3 : 5 and the perpendicular distance between them be 12 cm, The smaller of parallel sides is?

36 cm
20 cm
30 cm
24 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the sides of trapezium be 5k and 3k, respectively According to the question, (1/2) x [(5k + 3k) x 12] = 384? 8k = (384 x 2)/12 = 64 ? k = 64/8 = 8 cmLength of smaller of the parallel sides = 8 x 3 = 24 cm

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