SOLUTION: The width of a rectangle is 3 less than twice its length. If the area of the rectangle is 102 cm^2, what is the length of the diagonal?

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Question 1047514: The width of a rectangle is 3 less than twice its length. If the area of the rectangle is 102 cm^2, what is the length of the diagonal?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

     .

P = 2L + 2w

102 = 2L + 2(2L-3)

102 = 6L - 6

108 = 6L

18 = L  and w = 33 (36 + 66 = 102  CHECKS)

Applying Pythagorean Theorem

diagonal = sqrt%28%2818%5E2%29+%2B+%2833%5E2%29%29  Use Your Calculator