Question 88791
Question:


The length of a rectangle is 3in. more than the width. The perimeter of the rectangle is 24in.



Answer:


Assume that, width = x inches


Then length = x + 3 inches

perimeter = 24 inches...


perimeter is given by the formula......


Perimeter = 2( length + width)


==> 24  = 2 ( x + 3 + x)


==> 24 = 2 ( 2x + 3 ) 


==> 24 = 2 * 2x + 2 * 3



==> 24 = 4x + 6


Subtract 6 from both sides..


==> 24 - 6 = 4x + 6 - 6


==> 18  = 4x


Divide both sides by 4.


==> {{{ 18/4 = 4x/4}}}



==> {{{ 4.5 = x}}}



That is  width = 4.5 inches.



Length = x = 3 = 4.5 + 3 = 7.5 inches.




Hope you found the explanation useful...



Regards.



Praseena.