Area Problems If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals. 6% 9% 4% 5% 6% 9% 4% 5% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,Percentage increase in diagonals = 5%
Area Problems The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle? 46 cm 44 cm 48 cm 49 cm 46 cm 44 cm 48 cm 49 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ?d-d = 105 cm ? (? -1 ) d = 105 cm? [(22/7)-1] x d = 105 cm? d = (7/15) x 105 cm = 49 cm
Area Problems The length of a rectangle is double while its breadth is halved. What is the percentage change in area? 50 75 No change None of these 50 75 No change 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 Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at ? 20 per m. ? 1750 ? 1500 ? 1300 ? 1280 ? 1750 ? 1500 ? 1300 ? 1280 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 A circular disc of area 0.49 ? square meters, rolls down a length of 1.76 km. The number of revolutions it makes is? 300 600 4000 400 300 600 4000 400 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = ?r2 = 0.49? ? r = 0.7 mNumber of revolutions = total distance / circumference = (1.76 x 1000) / (2 x 22/7 x 0.7) = 400
Area Problems The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas. 9 : 2 9 : 4 9 : 7 9 : 5 9 : 2 9 : 4 9 : 7 9 : 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the diagonals of the squares be 3x and 2x.? Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)] = 9/4
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