Area Problems Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m. 8 m 13 m 7 m 12 m 8 m 13 m 7 m 12 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of to the rope = Radius of circle According to the question,?r2 = 154 ? r2 = 154 x (7/22) = 7 x 7 = 49 ? r = ?49 = 7 m
Area Problems The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is? 9 : 16 3 : 4 ? 3: 2 4 : 3 9 : 16 3 : 4 ? 3: 2 4 : 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of similar triangle = Ratio of the square of corresponding sides = (3x)2 / (4x)2 = 9x2 / 16x2 = 9/16 = 9 : 16
Area Problems The area of a rectangle, 144 m long is the same as that of a square having a side 84 m long. The width of the rectangle is? 14 m 7 m 49 m Cannot be determined 14 m 7 m 49 m Cannot be determined ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the square = (84 + 84) m2Area of the rectangle = (144 x width) m2From question both area would be same,? Width = (84 x 84) / 144 m = 49 m
Area Problems Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm. 22 64 44 84 22 64 44 84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let a = 13, b = 14 and c = 15. Then, s = 1 2 a + b + c =21 (s- a) = 8, (s - b) = 7 and (s - c) = 6. Area = s s - a s - b s - c = 21 × 8 × 7 × 6 = 84 sq.cm
Area Problems The length of a rectangle is double while its breadth is halved. What is the percentage change in area? None of these 50 No change 75 None of these 50 No change 75 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 The two parallel sides of a trapezium are 1 meters and 2 meters respectively . The perpendicular distance between them is 6 meters. The area of the trapezium is? 18 sq. meters . 9 sq. meters . 12 sq. meters . 6 sq. meters . 18 sq. meters . 9 sq. meters . 12 sq. meters . 6 sq. meters . ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of trapezium = 1/2 x sum of parallel sides x perpendicular distance between them= 1/2 (1 + 2) x 6 m2= 9 m2
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