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Ipatiy [6.2K]
1 year ago
15

A garden has a perimeter of 160 feet. The length is 12 more than the width. Find the length width of the garden.

Mathematics
1 answer:
andrey2020 [161]1 year ago
8 0

we have the following:

\begin{gathered} p=2\cdot l+2\cdot w \\ l=w+12 \\ p=160 \end{gathered}

replacing:

\begin{gathered} p=2\cdot(w+12)+2\cdot w \\ 160=2\cdot w+24+2\cdot w \\ 4\cdot w=160-24 \\ w=\frac{136}{4} \\ w=34 \end{gathered}

therefore, the width is 34 feet, the length:

\begin{gathered} l=34+12 \\ l=46 \\  \end{gathered}

the length is 46 feet

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