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Area Problems

Area Problems
Find the area of a rectangle having 15m length and 8m breadth.

115 sq m
111 sq m
120 sq m
125 sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = Length x Breadth= 15 x 8 = 120 sq m

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

No change
50
75
None of these

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 ratio of length and breadth of a rectangle is 5 : 3 .If length is 8 m more than breadth, find the area of the rectangle.

185 sq m
250 sq m
240 sq m
300 sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length of rectangle = 5kand breadth of rectangle = 3kAccording to the quecation,5k - 3k = 8 ? 2k =8? k = 4? Lenght = 5k = 5 x 4 = 20 mBreadth = 3k = 3 x 4 = 12 m? Required area = Lenght x Breadth = 20 x 12 = 240 sq m

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

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

Area Problems
Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at ? 20 per m.

? 1300
? 1750
? 1280
? 1500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the carpet = Area of the room = 8 x 6 = 48 sq mWidth of the carpet = 75/100 = 3/4 mLength of the carpet = 48 x (4/3) = 16 x 4 = 64 m? Cost of carpeting = 64 x 20 = ? 1280

Area Problems
In a circle of radius 21 cm an arc subtends an angle of 72° at the centre. The length of the arc is?

19.8 cm
13.2 cm
26.4 cm
21.6 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Arc length = 2?r (?° / 360°) = 2 x (22/7) x 21 x (72° / 360°) cm= 26.4 cm

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