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Rate of Change, Marginal Cost & Revenue · Question 5 of 79

Question 5

EasyOriginal question

Each side of a square grows at 3 cm/s. How fast is its perimeter growing?

Options for question 5

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. P=4aP = 4a, so dPdt=4dadt\frac{dP}{dt} = 4\frac{da}{dt}.

  2. 4×3=124 \times 3 = 12 cm/s, whatever the size of the square.

Worth noting

3 cm/s is one side's rate; four sides grow at once.

Concept
The rate of change of a perimeter
Typical time
60 s
Your time
—
The rule this testsRate of change of a quantity
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Ten questions from Rate of Change, Marginal Cost & Revenue, at your own pace.

Practise this chapter →

Ten questions from Rate of Change, Marginal Cost & Revenue, at your own pace.