SOLUTION: The distance around (perimeter) a certain rectangular playing field is 310 meters. The length is 65 meters more than the width. What are the dimensions (length and width) of the fi

Question 559312: The distance around (perimeter) a certain rectangular playing field is 310 meters. The length is 65 meters more than the width. What are the dimensions (length and width) of the field? I need help solving this problem please....step by step. Thank you.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
This is not hard, write an equation for each statement
The distance around (perimeter) a certain rectangular playing field is 310 meters.
2L + 2W = 310
We can simplify this, divide by 2
L + W = 155
:
The length is 65 meters more than the width.
L = W + 65
now
Using the 1st simplified equation, we can replace L with (W+65), find W
(W+65) + W = 155
2W = 155 - 65; subtracted 65 from both sides
2W = 90
W = 90/2; divided both sides by 2
W = 45 meters is the width
then
L = W + 65
L = 45 + 65
L = 110 meters is the length
:
:
Confirm this by finding the perimeter using these dimensions
2(110) + 2(45) =
220 + 90 = 310
:
Was this step-by-step enough?

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