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Manjit wants to donate a rectangle plot of level for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50m and breadth is increased by 50m, then its area will remain same, but if length increased by 10 m and breadth is decreased by 20m, then its area will decrease by 5300 m2.with the help of above facts, answer the following question:The value of x (length of rectangular field), is :(a) 150 m(b) 400 m(c) 200 m(d) 320 m. |
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Answer» x − y = 50...(1) 2x + y = 550...(2) Adding equations (1) and (2), we get x − y + 2x + y = 50 + 550 ⇒ 3x = 600 ⇒ x = 200. Hence, the length of the rectangular field is x = 200 m. |
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