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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?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals.

18%
15%
10%
20%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,? Percentage increase in sides = 10%? Percentage increase diagonals = 10%

Area Problems
The altitude of an equilateral triangle of side 2 ? 3 cm is?

3 cm
? 3/2 cm
1/2 cm
? 3/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 1/2 x 2 ? x h = ?3/4 x (2 ?3)2? h = 3 cm.

Area Problems
The area of the sector of a circle, whose radius is 12 meters and whose angle at the centre is 42, is?

52.8 sq. meters
79.2 sq. meters
26.4 sq. meters
39.6 sq. meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the sector = [(22/7) x 12 x 12] x [42°/360°] m2 = 52.8 m2

Area Problems
The ratio between the lenght and the breadth of a rectangle is 2 : 1. If breadth is 5 cm less than the length, what will be the parimeter of the rectangle?

35 cm
25 cm
30 cm
40 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length = 2x and breadth = xAccording to the question, 2x - x = 5 ? x = 5? Required perimeter = 2(2x + x) = 6x= 30 cm

Area Problems
A veranda 40 meters long 15 meters broad is to paved with stones each measuring 6 dm by 5 dm. the number of stones required is?

2000
1000
None of these
3000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length = (40 x 10 ) dm = 400 dm.Breadth = (15 x 10 ) dm = 150 dm.Area of veranda = (400 x 150 ) dm2Area of one stone = (6 x 5 ) dm2? Required number of stones = (400 x 150) /(6 x 5) = 2000

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