Question 212814
The perimeter of a rectangle is 136 feet. The length is seven feet less than four times the width. Find the length and width.


Step 1.  Let l = 4w-7 length of rectangle and let w be the width.  And we are given that length is seven feet less than 4 times the width.


Step 2.  Let P = 136 ft be the perimeter.  Perimeter means adding the 4 sides of a rectangle.  So,


{{{P=4w-7+4w-7+w+w}}}


{{{P=10w-14}}}


{{{P=10w-14=136}}}


Step 3.  Add 14 to both sides of equation to get 4w by itself



{{{10w-14+14=136+14}}}


{{{10w=150}}}


Step 4.  Divide 10 to both sides of equation


{{{10w/10=150/10}}}


{{{w= 15 }}}


{{{l=4w-7=60-7=53 ft


Step 5.  w = 15 is the width of the rectangle and length is 53 since


Check P=10w-14=10(15)-14=136  So w = 15 ft and l = 53 ft is the solution.


Hope the above steps were helpful.  Good luck in your homework and studies!  


Respectfully
Dr J


Hope you understood and followed the steps. Good luck in your studies. Dr J 


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