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AREA PROBLEMS

Area Problems
Area of a square is 1/2 hectare. The diagonal of the square is?

100 meter
250 meter
50? 2 meter
50 meter

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = 1/2 hectare = 10000 / 2 m2= 5000 m2Again Area = 1/2 x (Diagonal)2So 1/2 x (Diagonal)2 = 5000m2? Diagonal2= 10000 ? Diagonal = 100

Area Problems
The base of right-angled triangle is 5 meters and hypotenuse is 13 meters . Its area will be?

30m2
None of these
28 m2
25m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Altitude = ?(13)2 - (5)2= ?144 = 12m ? Area of the triangle = (5 x 12 ) / 2 m2= 30m2

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

No change
None of these
75
50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length = l and breadth = bThen, area = lb New length = 2lAnd new breadth = b/2 ? New area = ( 2l ) x (b/2) = lbSo, there is no change in area .

Area Problems
The cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paisa per meter is Rs. 36. The breadth of the room is?

12 meters
8 meters
6 meters
9 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of carpet = Total Cost / Rate = 3600 / 30 = 120 mArea of carpet = (120 x 75) / 100 m2= 90 m2? Area of the room = 90 m2Breadth of the room = Area /Length = 90 / 15 m = 6m

Area Problems
If the side of a square is increased by 25%, then how much percent does its area get increased?

125
50
56.25
156.25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let area 100 m2Then, side = 10 m New side = 125 % of 10= (125/100) x 10= 12.5 m New area = 12.5 x 12.5 m2=(12.5)2 sq. m? Increase in area = (12.5)2 - (10)2 m2= 22.5 x 2.5 m2=56.25 m2% Increase = 56.25 %

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