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Novay_Z [31]
4 years ago
15

Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m² by increasing the w

eight and length about the same amount. What will be the length (longer dimension) of the new garden?
Mathematics
1 answer:
Aleksandr [31]4 years ago
3 0
In order to find the Area of a rectangle you need to just multiply the length by the width. Don't be confused due to the squared symbol.

For the original garden the area was 130m^2

For the new rectangle we will need to work backwards, so therefore, when the rectangles area is 208m^2, sides will have to be both 8 and 26
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\large\displaystyle\text{$\begin{gathered}\sf \frac{2x-20}{3}=2x  \end{gathered}$}

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\large\displaystyle\text{$\begin{gathered}\sf 2x-20=6x \end{gathered}$}

Subtract 6x on both sides.

\large\displaystyle\text{$\begin{gathered}\sf 2x-20-6x=0 \end{gathered}$}

Combine 2x and −6x to get −4x.

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Add 20 to both sides. Any value plus zero results in its same value.

\large\displaystyle\text{$\begin{gathered}\sf -4x=20 \end{gathered}$}

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\large\displaystyle\text{$\begin{gathered}\sf x=-5 \ \ \to \ \ \ Answer \end{gathered}$}

<h2>{ Pisces04 }</h2>
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<u><em>Explanation:-</em></u>

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3 years ago
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