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The length and breadth of a rectangular park are in the ratio 5: 2. A 2.5m wide path running all aroundthe inside of the park has an area of 290m2. Find the dimensions of the park.12. |
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Answer» If the area is 290 sq m then, let the length of the rectangular park be 5x∴ breadth will be 2xso area= l*b 5x*2x =10x²width of the park all around the park=2.5m∴lenght and breadth including path (5x+2.5 +2.5)m=(5x+5) and breadth of rectangular park=(2x+2.5+2.5)=(2x+5)thus, area of the park=[(5x+2)(2x+5)-10x²]m²=(35x+25)m²it is given that 35x +25 =290⇒35x=265x=53/7thus the lenght of the park=5*53/7=265/7m and breadth of the park=2*53/7=106/7m hit like if you find it useful |
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