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Area Problems

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

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
A man runs round a circular field of radius 50m at the speed of 12 km/hr. What is the time taken by the man to take twenty rounds of the field?

110/7 min
230/7 min
220/7 min
90/7 min

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

speed = 12 km/h =  12 × 5 18 = 10 3 m / s     distance covered =  20 × 2 × 22 7 × 50 = 44000 7 m     time taken  = distance /speed =   44000 7 × 3 10 s e c = 4400 × 3 7 × 1 60 m i n = 220 7 m i n

Area Problems
The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field?

30 m
50 m
40 m
20 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = x meters. Then, Length = 115x / 100 meters Given that,  X × (115X / 100) = 460 => X = 20

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.

146
166
136
176

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
The area of an equilateral triangle whose side is 8 cms is?

16?3 cm2
21.3 cm2
4?3 cm2
64 cm2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Req. Area = ?3/4 x a2 = ?3/4 x 82 cm2= 16?3 cm2

Area Problems
If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.

140
120
130
110

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

let length = x and breadth = y then 2(x+y) = 46 => x+y = 23 x²+y² = 17² = 289 now (x+y)² = 23² => x²+y²+2xy= 529 => 289+ 2xy = 529 => xy = 120 area = xy = 120 sq.cm

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