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Area Problems

Area Problems
Find the area of a rectangle having 15m length and 8m breadth.

115 sq m
111 sq m
120 sq m
125 sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = Length x Breadth= 15 x 8 = 120 sq m

Area Problems
The diameter of a wheel is 63 cms. Distance travelled by the wheel in 100 revolutions is?

63 meters
136 meters
99 meters
198 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance travelled in 1 revolution = circumference of the wheel = ?d= ( 22/7 ) x 63= 198 cmSo the distance travelled in 100 revolutions = 100 x distance travelled in 1 revolution = 100 x 198 cm= 19800 cm = 198 m

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.

14m
16m
76m
56m

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
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
If the side of a square is increased by 25%, then how much percent does its area get increased?

50
156.25
125
56.25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let area 100 m2Then, side = 10 m New side = 125 % of 10= (125/100) x 10= 12.5 m New area = 12.5 x 12.5 m2=(12.5)2 sq. m? Increase in area = (12.5)2 - (10)2 m2= 22.5 x 2.5 m2=56.25 m2% Increase = 56.25 %

Area Problems
The ratio of the area of square of side a and equilateral triangle of side a is?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3

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