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Area Problems

Area Problems
The radius of a circular field is 25 m. Find the area of the field.

25 ? sq m
135 ? sq m
625 ? sq m
125 ? sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = ?r2 = ? x 25 x 25 = 625? sq m.

Area Problems
The length of a rectangle is double while its breadth is halved. What is the percentage change in area?

None of these
50
No change
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length = l and breadth = bThen, area = lb New length = 2lAnd new breadth = b/2 ? New area = ( 2l ) x (b/2) = lbSo, there is no change in area .

Area Problems
Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The smallest angle is

36°
18°
54°
40°

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let First angle = 3kSecond angle = 4kThird angle = 5k and Fourth angle = 8kWe know 3k + 4k + 5k + 8k = 360°? 20k = 360° ? k = 18 °Measure of smallest angle = 3k =3 x 18 ° = 54 °

Area Problems
A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is

rs.158
rs.58
rs.258
rs.358

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

area of cross roads = (55 x 4) + (35 x 4)- (4 x 4) = 344sq m cost of graveling = 344 x  (75/100) = Rs. 258

Area Problems
The ratio of length and breadth of a rectangle is 5 : 3 .If length is 8 m more than breadth, find the area of the rectangle.

240 sq m
185 sq m
300 sq m
250 sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length of rectangle = 5kand breadth of rectangle = 3kAccording to the quecation,5k - 3k = 8 ? 2k =8? k = 4? Lenght = 5k = 5 x 4 = 20 mBreadth = 3k = 3 x 4 = 12 m? Required area = Lenght x Breadth = 20 x 12 = 240 sq m

Area Problems
A room 5.44 m x 3.75 m is to be paved with square tiles. the least number of tiles required to cover the floor is?

184
192
162
176

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the room =(544 x 374) cm2size of largest square tile = H.C.F. of 544 & 374 = 34 cm Area of 1 tile = (34 x 34) cm2? Least number of tiles required = (544 x 374) / (34 x 34) = 176

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