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CBSE Class 11-science Answered

The length of a rectangle is 5 more than the 2 times of its breadth. If the perimeter of the rectangle is at least 640 cm. Find the minimum value of its breadth.  
Asked by manthanpal3 | 28 Jun, 2023, 12:20: PM
answered-by-expert Expert Answer
Let space the space breadth space of space straight a space rectangle space equals space straight x space cm
rightwards double arrow Length space equals space 2 straight x plus 5
Perimeter space greater or equal than 640 space cm
rightwards double arrow 2 left parenthesis length space plus space breadth right parenthesis greater or equal than space 640
rightwards double arrow 2 left parenthesis 2 straight x plus 5 plus straight x right parenthesis greater or equal than 640
rightwards double arrow 3 straight x plus 5 greater or equal than 320
rightwards double arrow 3 straight x greater or equal than 315
rightwards double arrow straight x greater or equal than 105
 
Hence, the minimum value of breadth is 105 cm.
Answered by Rashmi Khot | 28 Jun, 2023, 12:52: PM

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