SOLUTION: The length of a playing field is 2 meters longer than its width. If the area of the playing field is 1200 square meters, find the dimensions of the playing field. Thank you f

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Question 133127:
The length of a playing field is 2 meters longer than its width. If the area of the playing field is 1200 square meters, find the dimensions of the playing field.
Thank you for your help.

Found 2 solutions by checkley71, vleith:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
L=W+2
W(W+2)=1200
W^2+2W-1200=0
(X+12)(W-10)=0
W-10=0
W=10 METERS IS THE WIDTH OF THE FIELD.
L=10+2=12 METERS IS THE LENGTH OF THE FIELD.
PROOF
10*12=1200
1200=1200

Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
Length = Width + 2
Area = 1200
Area = Length + Width
Let W be the width. Then length L = (W +2)





Now use the quadractic equation to solve

I get 33.65 and 35.65

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