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Express the area A of a square as a function of its perimeter P - Mathematics and Statistics

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Question

Express the area A of a square as a function of its perimeter P

Sum

Solution

perimeter (P) = 4s

∴ s = `"P"/4`

Area (A) = s2

= `("P"/4)^2`

∴ A = `"P"^2/16`

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Chapter 6: Functions - Exercise 6.1 [Page 118]

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