SOLUTION: The length of a soccer field is 40 yards more than its width.Perimeter is 380 yards. a.) Find the dimensions of the field. b.) What is the area of the field?

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Question 637498: The length of a soccer field is 40 yards more than its width.Perimeter is 380 yards.
a.) Find the dimensions of the field.
b.) What is the area of the field?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The length Lof a soccer field is 40 yards more than its width W.
L=W%2B40yd..........1
Perimeter P is 380yd.

P=2%28L%2BW%29........2...substitute L and P
380yd=2%28W%2B40yd%2BW%29...solve for W
380yd%2F2=W%2B40yd%2BW
190yd=2W%2B40yd
190yd-40yd=2W
150yd=2W
150yd%2F2=W
highlight%2875yd=W%29.......now find the length
L=W%2B40yd..........1
L=75yd%2B40yd
highlight%28L=115yd%29
finally: the area A will be
A=L%2AW
A=115yd%2A75yd
A=8625yd%5E2