Question

A rectangle has area 25 m2.

(a) Express the perimeter of the rectangle as a function of the length (L) of one of its sides.

Answer 1

P = 2L + 2(25 / L)

Explanation:

Let's assume that the length of the rectangle is L meters and the width is W meters. Given that the area of the rectangle is 25 m², we have the equation:

L * W = 25

To express the width in terms of the length, we can rearrange the equation:

W = 25 / L

The perimeter (P) of a rectangle is given by the formula:

P = 2L + 2W

Substituting the expression for the width (W) in terms of the length (L) into the perimeter formula, we get:

P = 2L + 2(25 / L)

Simplifying further, we have

P = 2L + 50 / L