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13. The length and the breadth of a rectangular garden are in the ratio 9:5.A path 3.5 m wide, running all around inside it has an area of 1911 mFind the dimensions of the garden.? |
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Answer» Let the length and breadth of a RECTANGULAR garden be 9X and 5x. AREA of field = Length × Breadth=9×(5x) =45x2 Length of field without path =9x−(3.5+3.5)=9x−7 Breadth of field without path =5x−(3.5+3.5)=5x−7 Area of field without path = Length without path x Breadth without path =(9x−7)×(5x−7) =45x 2 −35x−63x+49 =45x 2 −98x+49 Now, Area of path = Area of field − Area of field without path 1911=45x 2 −(45x2 −98x+49) 1911=98x−49 x=20 Therefore: Length of field =9x=9×20=180m Breadth of field =5x=5×20=100m Step-by-step explanation: Mark as brainelist |
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