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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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?

6 meters
9 meters
12 meters
8 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 be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is?

14cm
13 cm
None of these
12 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let each side = x cmThen, (x + 4 )2 - x2 = 60? x 2 + 8x + 16 - x2 = 60? x = 5.5 cm

Area Problems
A cost of cultivating a square field at a rate of ? 135 per hectare is ? 1215. The cost of putting a fence around it at the rate of 75 paise per meter wouldbe

? 360
? 810
? 1800
? 900

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the field =1215/135 = 9 hec= 90000 m2 [1 hec =10000 m2]? Side of the field = ?90000 = 300 mPerimeter of the field = 4 x 300 = 1200 mNow, cost of putting a fence around field = (1200 x 75)/100 = ? 900

Area Problems
Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is?

6 meters
12 meters
3.5 meters
14 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of a four walls = 2(l + 8) x 6 = 168m2? (l + 8) = 14? l = 14-8= 6 meters

Area Problems
A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles.Find the least number of square tiles required to cover the floor?

156
166
186
176

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the room=(544 * 374)   size of largest square tile= H.C.F of 544 & 374 = 34 cm   Area of 1 tile = (34  x  34)  c m 2   Number of tiles required== [(544 x 374) / (34 x 34)] = 176

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