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1 year ago

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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