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) About Me  (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) About Me  (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)
A+=+L+%2A+W
A+=+%28W%2B2%29+%2A+W
A+=+W%5E2+%2B+2W
1200+=+W%5E2+%2B+2W
0+=+W%5E2+%2B2W+-1200
Now use the quadractic equation to solve
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
I get 33.65 and 35.65