The rectangle below has an area of 245 \(\text{inches} ^2\). What is the length of the longest side of the rectangle?

35 in

Explanation

A rectangle's area is length times width. Here, length is 5x and width is x so:

\(\begin{gathered} 245 \mathrm{in}^2=x \times 5 x \\ 245 \text { in }^2=5 x^2 \\ 49 \text { in }^2=x^2 \\ 7 \text { in }=x \end{gathered}\)

Therefore, the longest side is \(5 \times 7 \text { in }=35 \mathrm{in}\)

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