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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 cm
?3/4 cm
4 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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

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

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
Square units 13 by 9 of an office area is

97
107
117
127

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Square units 13 by 9 of an office means office of length 13 units and breadth 9 units. Now its area is 13x 9 = 117 square units or units square.

Area Problems
What is the area of a square having perimeter 68 cm?

269 sq cm
361 sq cm
289 sq cm
284 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question,4a = 68 [ where a = side]?a = 68/4 = 17 cm? Required area = a2= (17)2 = 289 sq cm

Area Problems
How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material?

2
8
6
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of square plate = (Side)2 = (2d)2= 4d2Area of circular plate = ? (d/2)2= ?d2/4? Number of square plates = [(4d2)/4] / [(?d2)/4]= (4 x 4)/? ? 5Since, nearest integer value is 5.

Area Problems
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

10%
28%
20%
10.08%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let original length = x and original breadth = y. Decrease in area = xy - ❨ 80 x x 90 y ❩ 100 100 = ❨ xy - 18 xy ❩ 25 = 7 xy. 25 ∴ Decrease % = ❨ 7 xy x 1 x 100 ❩% = 28%

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