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Area Problems

Area Problems
The length of each side of an equilateral triangle having an area of 4?3 cm 2 is?

4/?3 cm
?3/4 cm
3 cm
4 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm

Area Problems
A circle and a square have same area. The ratio of the side of the square and the radius of the circle is?

1 : ?
? : 1
1 : ??
?? : 1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? Area of square = Area of circle ? x2 = ?r2? x/r = ?? = ? ? : 1

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 154 sq m.

8 m
7 m
13 m
12 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of to the rope = Radius of circle According to the question,?r2 = 154 ? r2 = 154 x (7/22) = 7 x 7 = 49 ? r = ?49 = 7 m

Area Problems
The ratio of the area of two square, one having and double its diagonal than the other is?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the diagonal of one square be (2d) cmThen, diagonal of another square = d cm? Area of first square = [ 1/2 x (2d)2] cm2Area of second square = (1/2 x d2) cm2? Ratio of area = (2d)2/ d2= 4/1 = 4: 1

Area Problems
The length and breadth of a square are increased by 40% and 30% respectively. The area of a resulting rectangle exceeds the area of the square by?

82%
62%
42%
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the side of the square = 100 m So area of square = 100 x 100 = 10000.New length = 140 m, New breadth = 130 mIncrease in area = [(140 x 130) - (100 x 100)] m2= 8200 m2? Required increase percent = (8200/ 10000) x 100 % = 82%

Area Problems
The perimeter of an equilateral triangle is 90 cm. Find its area.

151?3 sq cm
225?3 sq cm
250?3 sq cm
135?3 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, perimeter = 90 cm? 3a = 90 cm       [a = side]? a = 90/3 = 30 cm? Area = ?3a2 / 4 = ?3/4 x (30)2= 900 x ?3/4 = 225?3 sq cm

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