Question

Find the dimensions of the rectangle with area 289 square inches that has minimum perimeter, and then find the minimum perimeter.

Answer 1

THANKS FOR THE QUESTION !

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GIVEN :

=> AREA OF RECTANGLE :

=> 289 INCH ^ 2

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PERIMETER :

=> MINIMUM

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TO FIND :

=> THE LEAST LENGTH & BREADTH

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FROM GIVEN :

=> L * B = 269

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FACTORS OF 289 :

=> 289 :

=> ( 17 * 17 )

=> ( 34 * 8.5 )

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BUT ,

=> IF WE TAKE 17 * 17 IT WILL BE A SQUARE NOT A RECTANGLE

SO,

=> IT IS NOT CORRECT

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SO LENGTH OF RECTANGLE :

=> 34 INCHES

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BREADTH OF RECTANGLE :

=> 8.5 INCHES

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PERIMETER OF RECTANGLE :

=> 2 ( L + B )

=> 2 ( 34 + 8.5 )

=> 2 ( 42.5 )

=> 85

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HOPE IT WILL HELP U........

THANKS AGAIN !

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