SOLUTION: 1. Ken has a pool 20 feet by 24 feet. He wants to put grass in a strip of uniform width around the pool. He has enough grass strip of 192 𝑓𝑡2 . How wide will the strip be?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: 1. Ken has a pool 20 feet by 24 feet. He wants to put grass in a strip of uniform width around the pool. He has enough grass strip of 192 𝑓𝑡2 . How wide will the strip be?       Log On


   

Question 1168319: 1. Ken has a pool 20 feet by 24 feet. He wants to put grass in a strip of uniform width around the pool. He has enough grass strip of 192 𝑓𝑡2 . How wide will the strip be?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

(1)  20*24 = 480 ft^2 is the area of the pool.



(2)  480 + 192 = 672 ft^2  is the area of the pool and the strip around the pool.



(3)  Now I want to present the number 672 as the product of two integer factors with the difference  4 (same as the difference 24-20) between them.


    This presentation is  672 = 24*28.



(4)  Therefore,  %2824-20%29%2F2 = 4%2F2 = 2 ft is the answer to the given problem.


Solved.

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If you want to see many other similar solved problems, look into 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 lesson is 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.