SOLUTION: The length of a rectangle 3 feet more than three times its width. The diagonal of the rectangle is 4 feet more than 3 times its width. find the length and width.
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Question 446007: The length of a rectangle 3 feet more than three times its width. The diagonal of the rectangle is 4 feet more than 3 times its width. find the length and width.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
(3x+4)2-(3x+3)2=x2
9x2+24x+16-9x2-18x-9=x2
0=x2-6x-7
0=(x-7)(x+1)
x=7 or -1
Throwing out the negative answer, we get the width to be 7'. The length is 24'..
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