Question

Area of a rectangle is 81 m^2. Express the perimeter of the rectangle as a function of the length (L) of one of its sides

Answer 1

`P = 2\bigg((l^2 + 81)/(l)\bigg)~m`

Explanation:

We are given the following in the question:

Area of rectangle = 81 square meter.

Let l be the length of the rectangle and b be the breadth of rectangle.

Then, we can write,

`\text{Area of rectangle} = \text{Length}* \text{breadth}\\A = l* b\\81 = l* b\\\\b = (81)/(l)~m`

Perimeter of rectangle =

`2(\text{Lenght + Breadth})`

Putting values, we get,

`P = 2(l + b)\\P = 2(l + (81)/(l))\\\\P = 2\bigg((l^2 + 81)/(l)\bigg)~m`