SOLUTION: Find the area of a rectangular tennis court if the perimeter is 480 feet. The length of the court is six feet more than twice the width.

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Question 16886: Find the area of a rectangular tennis court if the perimeter is 480 feet. The length of the court is six feet more than twice the width.
Answer by zerosignal(28) About Me  (Show Source):
You can put this solution on YOUR website!
Given: length is 6 feet longer than twice its width, perimeter is 480 feet.
Let x = width (a)
Let 2x+6 = length (b)
perimeter+=+2a+%2B+2b
480+=+2x+%2B+2%282x%2B6%29
480+=+2x+%2B+4x+%2B+12
480+=+6x+%2B+12
468+=+6x
78+=+x
therefore, the width of the rectangle is 78feet, and the length is 2%2A%2878%29%2B6+=+162feet.
Area of a rectangle is A = a*b
a+=+78%2A162
a+=+12636ft%5E2