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The length of a rectangle is twice its breadth and its area is 288 cm^2. Find the dimensions of the rectangle.

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Question

The length of a rectangle is twice its breadth and its area is 288 cm2. Find the dimensions of the rectangle.

Sum
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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 × x = 288 

⇒ 2x2 = 288 

⇒ x2 = 144 

⇒ x = 12 or x = –12 

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

∴ Length = 2 × 12

= 24 m 

Breadth = 12 m

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Chapter 4: Quadratic Equations - EXERCISE 4D [Page 228]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 4 Quadratic Equations
EXERCISE 4D | Q 58. | Page 228
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