Question

The length of rectangle is three times of its breadth .If the area of rectangle is 432 cm² then find its perimeter. ​​

Answer 1

perimeter of rectangle = 96

Answer 2

Given: The Length of a rectangle is three times of it's Breadth. & the area of the rectangle is 432 cm².

Need to find: The Perimeter?

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❍ Let's say, that the Breadth of plot be x m. Then, Length of the plot would be 3x m.

$:\implies\sf\quad Area_{\:(rectangle)} = Length \times Breadth$

$:\implies\sf\quad 432 = 3x \times x$

$:\implies\sf\quad x^2 = \cancel\dfrac{432}{3}$

$:\implies\sf\quad x^2 = 144$

$:\implies\sf\quad x = \sqrt{144}$

$:\implies\sf\quad x = 12$

Therefore, Length & Breadth are 36 cm and 12 cm.

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• P E R I M E T E R :

$:\implies\sf\quad Perimeter_{\;(rectangle)} = 2(Length + Breadth)$

$:\implies\sf\quad Perimeter = 2(12 + 36)$

$:\implies\sf\quad Perimeter = 2 \times 48$

$:\implies\sf\quad Perimeter = 96$

Hence, the Perimeter of rectangle is 96 cm.