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16. The length of a rectangle exceeds its breadth by 7 cm. If the length is decreased by 4 comand the breadth is increased by 3 cm, the area of the new rectangle is the same as the areaof the original rectangle. Find the length and breadth of the original rectangle17. The base of a triangle is th the length of the corresponding altitude. If the altitude isIncreased by 3 cm and the base is decreased by 2 cm, the area of the triangle remains the sameFind the base and altitude of the triangle16. A boat covers a certain distance downstream in 2 hours. It covers the same distance upstreamin 2 hours. The speed of the boat in still water is 18 km/h. Find the speed of the water,Also find the distance covered by the boat. |
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Answer» Step-by-step explanation: then length = b+7 area of rectangle = L×B = (B+7)×B =B2 +7B new breadth= b+3 new length=b+7-4=b+3 area =L×B =(b+3)×(b+3) =(b+3)2 (=a+b)2= a2+2ab+b2)....1 now put the value of a =b and value of b = 3 in equation 1
=b2+6b+9 acc.. to question ORIGINAL rectangle = new rectangle b2+7b = b2+ 6b+9 b2 +7b-b2-6b=9 b = 9 HENCE breadth = 9 now putt the value of b in ( b + 7) = 9+7 =16 L =16
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