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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
?3/4 cm
4 cm
3 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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
12 cm
13 cm
None of these

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
If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.

5%
4%
6%
9%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,Percentage increase in diagonals = 5%

Area Problems
If the diagonal of a square is double, how does the area of the square change?

None of these
Becomes four fold
Becomes three fold
Becomes two fold

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of the areas = area of original square / area of new square = [ d2 / 2 ] / [ (2d)2 / 2 ] = 1/4? New area becomes 4 fold.

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?

176
156
166
186

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

Area Problems
A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 75 paise per sq m is

Rs. 358
Rs. 258
Rs. 458
Rs. 558

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area to be plastered =  2 l + b × h + l × b   = 2 25 + 12 × 6 + 25 × 12 = 744 s q . m   Cost of plastering =  744 × 75 100 = R s . 558

MORE MCQ ON Area Problems

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