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Ganezh [65]
4 years ago
10

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

Mathematics
1 answer:
LuckyWell [14K]4 years ago
6 0

Answer:

P = 2\bigg(\dfrac{l^2 + 81}{l}\bigg)~m

Step-by-step 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}\times \text{breadth}\\A = l\times b\\81 = l\times b\\\\b = \dfrac{81}{l}~m

Perimeter of rectangle =

2(\text{Lenght + Breadth})

Putting values, we get,

P = 2(l + b)\\P = 2(l + \dfrac{81}{l})\\\\P = 2\bigg(\dfrac{l^2 + 81}{l}\bigg)~m

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