SOLUTION: A small garden measures 6 ft by 10 ft. A uniform border around the garden increases the total area to 117 ft2. What is the width of the border?

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Question 1136790: A small garden measures 6 ft by 10 ft. A uniform border around the garden increases the total area to 117 ft2. What is the width of the border?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
u, uniform border width

%282u%2B6%29%282u%2B10%29=117
Note that if you can find two factors of 117 which differ by 4, you can find each dimension of the outside border and solve for u. Otherwise, solve a quadratic equation maybe using general formula solution.


117=9%2A13
and
13-9=4.

2u%2B6=9
2u=3
highlight%28u=1%261%2F2%29,feet

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
A small garden measures 6 ft by 10 ft. A uniform border around the garden increases the total area to 117 ft2.
What is the width of the border ?
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This formulation is FAR from an ideal.

Consider this change to make it more appropriate . . . 

    A small garden measures 6 ft by 10 ft. A  highlight%28cross%28border%29%29  walkway of the uniform width around the garden increases the total area to 117 ft2. 
    What is the width of the highlight%28cross%28border%29%29 walkway ?

For many other similar solved problems, see the lessons
    - Problems on the area and the dimensions of a rectangle surrounded by a strip
    - Cynthia Besch wants to buy a rug for a room
    - Problems on a circular pool and a walkway around it
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
"Dimensions and the area of rectangles and circles and their elements".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.


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