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Area Problems

Area Problems
If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.

4%
9%
5%
6%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,Percentage increase in diagonals = 5%

Area Problems
The length and breadth of a playground are 36 m and 21 m respectively. Flagstaffs are required to be fixed on all along the boundary at a distance of 3 m apart. The number of flagstaffs will be?

39
40
37
38

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Perimeter = 2 x (36 + 21 ) m = 144 m ? Number of flagstaffs = 144 / 3 = 38

Area Problems
A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6: 5 . The smaller side of the rectangle is?

30 cm
60 cm
132 cm
72 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Perimeter of rectangle = Circumference of circle = 2?r=2 x ( 22/7 ) x 42= 264 cm Now perimeter of rectangle = 2 x ( 6a + 5a )? 2 x (6a + 5a) = 264? a = 12Smaller side of rectangle = 5a = 60 cm

Area Problems
The Number of rounds that a wheel of diameter 7/11 m will make in going 4 km, is?

1500
1000
1700
2000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of round = total distance / circumference of wheel.= (4 x 1000) / ?d= (4 x 1000) / ( 22/7 x 7/11) = 2000

Area Problems
The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is?

147 sq. cm
154 sq. cm
77 sq. cm
210 sq. cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Angle swept in 30 min= 180° Area swept = [(22/7) x 7 x 7] x [180°/360°] cm2 = 77 cm2

Area Problems
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

840
814
820
844

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm. Area of each tile = (41 x 41) cm2. ∴ Required number of tiles = ❨ 1517 x 902 ❩ = 814

MORE MCQ ON Area Problems

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