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Area Problems

Area Problems
Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is

1.5 m2
1.5 m2
0.75 m2
0.375 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of rhombus =(d1 x d2)/2 =(1 x 1.5)/2 m2= 0.75 m2

Area Problems
A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.

136
176
166
146

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

area of the room = 544 x 374 sq.cm size of largest square tile = H.C.F of 544cm and 374 cm= 34 cm area of 1 tile = 34x34 sq cm no. of tiles required = (544 x 374) / (34 x 34) = 176

Area Problems
A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is?

40 meters
14 meters
24 meters
28 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance covered in one revolution = total distance travelled / total number of revolution. = ( 88 x 1000) / 1000 m = 88 mWe know that the distance covered in one revolution = circumference of the wheel.? ?d = 88? 22d / 7 = 88? d = 28 m

Area Problems
The cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paisa per meter is Rs. 36. The breadth of the room is?

8 meters
12 meters
9 meters
6 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of carpet = Total Cost / Rate = 3600 / 30 = 120 mArea of carpet = (120 x 75) / 100 m2= 90 m2? Area of the room = 90 m2Breadth of the room = Area /Length = 90 / 15 m = 6m

Area Problems
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq meters.

16m
14m
56m
76m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

clearly the cow will graze a circular field of area 9856 sq m and radius equal to the length of the rope.
Let the length of the rope be r mts  then,
r2 = 9856
r2 = (9856 × 7) / 22 = 3136
r = 56 m

Area Problems
The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii?

44 meter
7 meter
5 meter
8 meter

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 2?R - 2?r = (176-132)? 2?(R-r) = 44? R-r = ( 44 x 7 )/ (2 x 22)= 7 m

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