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The Length of Rectangle is Twice Its Breadth and Its Areas is 288 Cm `288cm^2` . Find the Dimension Of The Rectangle - Mathematics

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Question

The length of rectangle is twice its breadth and its areas is 288 cm  `288cm^2` . Find the dimension of the rectangle

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Solution

Let the length and breadth of the rectangle be 2x m and x m, respectively 

According to the question: 

`2x xx x=288` 

⇒`2x^2=288` 

⇒`x^2=144` 

⇒`x=12  or  x=-12` 

⇒ `x=12`                  ( ∵x cannot be negative) 

∴ Length =`2xx12=24 m` 

Breath =12m

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Chapter 10: Quadratic Equations - Exercises 5

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 10 Quadratic Equations
Exercises 5 | Q 58
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