Which is a counterexample for the conditional statement? If a square has side length s, then the perimeter is less than the area

Question

4 years ago

6

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1 answer:

Lelechka [254] · Answer 1 · 2021-11-30T10:56:32+03:00

Answer:

s = 3: perimeter 12, area 9

Step-by-step explanation:

We are interested in side lengths s such that ...

P ≥ A

4s ≥ s²

4s -s² ≥ 0

s(4 -s) ≥ 0

This is the equation of a parabola that opens downward. I has zeros at s=0 and s=4, so will have a value at least 0 for 0 ≤ s ≤ 4.

A square of side length 3 will have a perimeter greater than the area.