Question 63754
QUESTION:

The greenhouse I am building for my wife is 6 feet longer than it is wide. Write an algebraic expression for the perimeter if the length is expressed as X. If X equals 20, what is the perimeter?

ANSWER:


Given,


Length = x feet


Width =  x -6 (because length is 6 ft longer than width means, width is 6 feet shorter than length.)



Perimeter of a rectangle is = 2 ( length + width)



==> perimeter =  2 ( x + x -6 )


              =  2 ( 2x - 6 )


              =  2* 2x - 2 * 6


              = 4x - 12



If we denote perimeter by p, the algebraic expression for perimeter is,



     p = 4x - 12



It is given that  x = 20



==> p = 4 * 20 - 12


      = 80 - 12


      = 68



perimeter = 68 sqare feet.





Hope you understood.



Regards,

praseenakos@yahoo.co.in