Based on the Roni using a lawn mower and Allie pushing one, Roni would be able to mow 0.71 of the field. 
<h3>How much of the field would Roni mow?</h3>
Assume that the part of the field that Roni would mow is x. 
The relevant equation would be:
x/30 + x/75 = 1
5x/150 + 2x/150 = 1 
7x / 150 = 1
x = 21.43
In 30 minutes, Roni would have mowed:
= 21.43 / 30
= 0.71
Full question is:
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
Find out more on the rate of work at brainly.com/question/4976375.
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It's (m) Meters. Hope this helped you! (ノ◕ヮ◕)ノ*:・゚✧
        
             
        
        
        
<span>We let x be the length and y be the width of the rectangle. Then,
 
Perimeter = 2x + 2y
100 = 2x + 2y
50 = x + y
y = 50 - x
 
Area = xy
A = x(50 - x)
A = 50x - x^2
 
We then take the derivative; set it equal to zero:
 
A ' = 50 - 2x
0 = 50 - 2x
2x = 50
x = 25
y = 50 - x
y = 50 - 25
y = 25
  
Therefore, the dimensions are 25 and 25.</span>