SOLUTION: A rectangle has an area of 45 m2. The length is 6 m more than three times the width. What is the length of a diagonal of the rectangle?

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Question 865961: A rectangle has an area of 45 m2. The length is 6 m more than three times the width. What is the length of a diagonal of the rectangle?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The first two sentences can give the dimensions.
x and y dimensions, x is length.
x=3y%2B6.
xy=45
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%283y%2B6%29y=45
3y%5E2%2B6y-45=0
y%5E2%2B2y-15=0
%28y-3%29%28y%2B5%29=0
highlight%28y=3%29 and 3%2A3%2B6=highlight%28x=15%29.
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The diagonal is a hypotenuse of a right triangle of the rectangle's sides.
sqrt%283%5E3%2B15%5E2%29
sqrt%289%2B225%29
highlight%28sqr%28234%29=15.3%29...