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 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 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% 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 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? 176 156 166 186 176 156 166 186 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 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
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