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Question

Each side of a triangular park on the road crossing is decreased by 4 m.The ratio of the length of fence required along the boundary for original and new park is 7:5 .Find the length of the boundary of the original park.

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Solution

Let the length of the boundary of the original park be x mWhen each side of the traiangular park is decraesed by 4 m, then the length of the boundary of the park will be x-4×3 m that is x-12 mThe ratio of the length of the fence along the boundary for original and new park is 7:5This implies that, xx-12=75Cross multiply and solve further 5x=7x-12 5x=7x-84 5x-7x=-84 -2x=-84 x=42Thus the length of the boundary of the original park is 42 m

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