A rectangle has a perimeter of 10 meters. Express the area A of the rectangle as function of the width x.

Answer 1

x = width

y = length

P = Perimeter

A = Area

Perimeter = 2 * width + 2 * length

P = 2 x + 2 y

P = 2 * ( x + y )

2 * ( x + y ) = 10 Divibe both sides by 2

x + y = 5

y = 5 - x

Area = width * length

A = x * y

A = x * ( 5 - x )

A = 5 x - x ^ 2

Answer 2

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Answer 3

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Answer 4

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