SOLUTION: Solve the following problems involving applications of polynomials A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it m

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Question 143069: Solve the following problems involving applications of polynomials
A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let width = w. Then length = w+50
diagonal = 250
Use Pythagorean theorem.
250%5E2+=+w%5E2+%2B+%28w%2B50%29%5E2+
62500+=+w%5E2+%2B+w%5E2+%2B+100w+%2B+2500
0+=+2w%5E2+%2B+100w+-+60000
+0+=+w%5E2+%2B+50w+-+30000
Use quadratic equation and solve. a = 1, b = 50 c = -30000
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+