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Kirk and Montega have accepted a job mowing the soccer playing fields. They must mow an area 500 feet long and 400 feet wide. They agree that each will mow half the area. They decide that Kirk will mow around the edge in a path of equal width until half the area is left.

 

To the nearest whole number, how many times should Kirk go around the field?

 Dec 10, 2020
 #1
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What is the width of the cut of Kirk's mower?

 Dec 10, 2020
 #2
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Oh, sorry, five feet.

Guest Dec 10, 2020
 #3
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Total area = 400 * 500   = 200,000 ft^2

 

1/2 area  =   100,000 sq ft

 

Middle dimensions

 

(400-2x) ( 500 - 2x)   = 100000

 

200000 - 1800x  + 2x^2  = 100000

 

4x^2 - 1800x + 100000   =  0

 

2x^2   -900x  +  50000    = 0 

 

x ≈ 385 ft  (reject)  

 

or

 

x ≈  64.9 ft  = 65  ft

 

He needs to  make  about  65/ 5   = 13 passes

 

 

cool cool cool

 Dec 10, 2020

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