Area Problems If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals. 5% 6% 9% 4% 5% 6% 9% 4% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,Percentage increase in diagonals = 5%
Area Problems The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is? 147 sq. cm 77 sq. cm 210 sq. cm 154 sq. cm 147 sq. cm 77 sq. cm 210 sq. cm 154 sq. cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Angle swept in 30 min= 180° Area swept = [(22/7) x 7 x 7] x [180°/360°] cm2 = 77 cm2
Area Problems The length of a rectangular plot is twice of its width. If the length of a diagonal is 9?5 meters, the perimeter of the rectangular is? 27 m 81 m None of these 54 m 27 m 81 m None of these 54 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = y meters,Then, length = 2y meters? Diagonal = ?y2 + (2y)2 = ?5y2 metersSo, ?5y2 = 9 ?5? y= 9Thus, breadth = 9 m and length = 18 m? Perimeter = 2 (18 + 9) m = 54m.
Area Problems A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece? 14 cm 28 cm 7 cm 3.5 cm 14 cm 28 cm 7 cm 3.5 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circular piece is 4 x 11 = 44 cm long, Then Circumference of circle is given by, 44 = pi x D, where D is the diameter D = 44 / pi Take pi = 22 / 7, then D = 44 / (22/7) = (44 x 7) / 22 D = 14 cm.
Area Problems If the circumference of a circle is the 352 meters, then its area in m square is? 9856 5986 8956 6589 9856 5986 8956 6589 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP circumference = 2?r = 2 x (22 / 7) x r = 352? r = (352 x 7) / (22 x 2) =56 cmNow area = ?r2 = (22 / 7) x 56 x 56 m2= 9856 m2
Area Problems A hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. the cost of flooring the verandah at the rate of 3.50 per sq. meter is? Rs. 800 Rs. 500 Rs. 700 Rs. 600 Rs. 800 Rs. 500 Rs. 700 Rs. 600 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of verandah = [(25 x 20) -(20 x 15)] m2= 200 m2? Cost of flooring = Rs. (200 x 3.50)= Rs. 700
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