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Find the values for x so that the perimeter of this rectangle is no greater than 70 centimeters

Find the values for x so that the perimeter of this rectangle is no greater than 70 centimeters-example-1
User Hanugm
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1 Answer

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The perimeter of the given rectangle is:


(2x+2*30)\operatorname{cm}=2x\text{ cm+60 cm.}

Since the perimeter must be equal to or smaller than 70 cm we can set the following inequality:


2x+60\leq70.

Solving the above inequality for x, we get:


\begin{gathered} 2x\le70-60, \\ 2x\le10, \\ x\le(10)/(2), \\ x\le5. \end{gathered}

Answer: Recall that x must be greater than zero since it is the length of the side of the rectangle, then

[tex]0
User Yev Guyduy
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