SOLUTION: A rectangular field has a permit we of 194 feet. The length is 7 feet more than four times the width. What is the length and what is the width?

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Question 1185617: A rectangular field has a permit we of 194 feet. The length is 7 feet more than four times the width. What is the length and what is the width?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w width
4w+7 length
PERIMETER 194

w%2B4w%2B7=194%2F2---------from using formula for perimeter;
SOLVE THIS FOR w.
.
.

Now you know w.
Use it to evaluate length.

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
A rectangular field has a cross%28permit%29 cross%28we%29 PERIMETER of 194 feet.
The length is 7 feet more than four times the width. What is the length and what is the width?
~~~~~~~~~~~~~~

W = width

L = 4W + 7   (the length)


Equation


    W + (4W + 7) = 194/2

   
    5W + 7 = 97

    5W     = 97 - 7

    5W     = 90

     W     = 90/5 = 18.


ANSWER.  The width is 18 feet;  the length is  4*18 + 7 = 79 feet.


CHECK.  18 + 79 + 18 + 79 = 194 feet, the perimeter.    ! Correct !

Solved, answered, checked and explained.