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The length of a rectangular field is 7 m less than 4 times the width. The perimeter is 136 m. Find the width and length.
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The length of a rectangular field is 7 m less than 4 times the width. The perimeter is 136 m. Find the width and length.

User Syphirint
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1 Answer

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x - the width (m)
4x - 7 - the length (m)
136m - the perimeter
The formula of the perimeter of the rectangle: 2a + 2b.
Substitute:

2\cdot x+2\cdot(4x-7)=136\\\\2x+2\cdot4x-2\cdot7=136\\\\2x+8x-14=136\\\\10x-14=136\ \ \ |+14\\\\10x=150\ \ \ \ |:10\\\\x=15\ m\\\\4x-7=4\cdot15-7=60-7=53\ m
Answer: The length = 53m; the width = 15 m.


User Lokesh Dhakar
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