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Area Problems

Area Problems
The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height?

13 cm
12 cm
14 cm
16 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let height =x Then, base =2x 2x * x = 338 =>x=13

Area Problems
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

50% increase
25% increase
50% decrease
75% decrease

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let original length = x and original breadth = y. Original area = xy. New length = x . 2 New breadth = 3y. New area = ❨ x x 3y ❩ = 3 xy. 2 2 ∴ Increase % = ❨ 1 xy x 1 x 100 ❩% = 50%

Area Problems
The inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is?

77 m
70 m
84 m
56 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Circumference of a circular = 2?r? 2 x (22 / 7) x r = 440? r = [440 x (7/22) x (1/2)] = 70 m? Radius of outer circle = (70 + 14) m = 84 m

Area Problems
The radius of a circular field is 25 m. Find the area of the field.

125 ? sq m
25 ? sq m
625 ? sq m
135 ? sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = ?r2 = ? x 25 x 25 = 625? sq m.

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

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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