A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the domain of P

Question

Mathematics

Kenneth Cannon

28 March, 03:58

A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the domain of P

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Rudy Washington · Answer 1

A rectangle is a two-dimensional shape with two sets of equal, parallel sides. These dimensions are the length (L) and the width (W). The formula for the rectangle's area is the product of the two dimensions. The formula for perimeter is

P = 2L + 2W

Since

A = LW = 64

W = 64/L

Substituting to the formula for perimeter would be,

P = 2L + 2 (64/L)

P = 2L + 128/L