Question 229229
The length of a rectangle is 8 in. more than its width. the perimeter of the rectangle is 24 in. what and the width and length of the rectangle?


Step 1.  Perimeter P means adding up all 4 sides of a rectangle.


Step 2.  Let w be the width.


Step 3.  Let w+8 be the length.


Step 4.  Then, P=w+w+w+8+w+8=24 since the perimeter is 24 inches


Step 5.  Solving  P=w+w+w+8+w+8=24 yields the following steps


{{{4w+16=24}}}


Subtract 16 from both sides of the equation


{{{4w+16-16=24-16}}}


{{{4w=8}}}


Divide by 4 to both sides of the equation


{{{cross(4)w/cross(4)=8/4}}}


{{{w=2}}} and {{{w+8=10}}}.  Check Perimeter {{{P=2(2+10)=24}}} which is a true statement.


Step 5.  ANSWER:  The width is 2 inches and the length is 10 inches.


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J