Let's let l represent the length of the rectangle (in inches), let w represent the width of the rectangle, let p represent the perimeter of the rectangle (in inches), and let A represent the area of the rectangle (in square inches). Write a formula that determines the perimeter p of the rectangle given its width w and length l.

Question

Mathematics

Mathis

12 February, 21:36

Let's let l represent the length of the rectangle (in inches), let w represent the width of the rectangle, let p represent the perimeter of the rectangle (in inches), and let A represent the area of the rectangle (in square inches). Write a formula that determines the perimeter p of the rectangle given its width w and length l.

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Answers (1)

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Madeline Mahoney · Answer 1

p = 2 (l + w)

Step-by-step explanation:

A rectangle has two lengths and two widths. The formula for the perimeter of a rectangle is obtained by adding all the four sides of the rectangle.

p = l + l + w + w = 2l + 2w

p = 2l + 2w

2 is a common factor of both terms on the right hand side

Factorizing 2l + 2w

p = 2 (l + w)