SOLUTION: The length of a rectangle is the same as the length of a square. The length of this rectangle is 4cm more than 3 times the width of the rectangle. The area of the square is 66cm^

Question 1073876: The length of a rectangle is the same as the length of a square. The length of this rectangle is 4cm more than 3 times the width of the rectangle. The area of the square is 66cm^2 more than the area of the rectangle.
Find the length and width of the rectangle.
Length x width/area of square = (3w+4)^2 = 9w^2+24w+16 which equals 66cm^2 more than the area of the rectangle.
And I'm stuck! Please help.

Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let w be the width of the rectangle. Then its length would be 3w+4. The area of the square would be (3w+4)�. So:
w(3w+4)+66=(3w+4)�
3w�+4w+66=9w�+24w+16
6w�+20w-50=0
3w�+10w-25=0
(3w-5)(w+5)=0
w=5/3 or -5
The width is 1-2/3 cm, the length is 9 cm. ☺☺☺☺
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