The perimeter of a square must be greater than 162162 inches but less than 190190 inches. find the range of possible side lengths that satisfy these conditions. (hint: the perimeter of a square is given by p=4sp=4s, where s represents the length of a side).

Respuesta :

Since the perimeter is four times the side, the constraints on the perimeter are immediately translated into constraints on the side:

[tex] 162 < p < 190 \iff 162 < 4s < 190 [/tex]

So, if you divide every term in the inequality by 4, you have

[tex] \dfrac{162}{4} < s < \dfrac{190}{4} [/tex]

Now simply evaluate the fractions:

[tex] 40.5 < s < 47.5 [/tex]

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