The length of a rectangle is five times greater than the width, w. What is the ratio of the area of the rectangle to the perimeter of the rectangle in simplest form?

Question

Dayami Bond

Mathematics

4 February, 19:13

The length of a rectangle is five times greater than the width, w. What is the ratio of the area of the rectangle to the perimeter of the rectangle in simplest form?

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Vicente Mcfarland · Answer 1

If the length = 5w then length to width = 5/1. This also means we could create a rectangle B with width 1 and length 5 and have it be the same shape, if not size as the rectangle in the question (A).

The area of any rectangle is (l) (w) and the perimeter is (l+w) ^2. so the ratio with our rectangle B would be (5) (1) / (5+1) ^2. Simplifed, 5/12. This is also the simplifed ratio of rectangle A.