SOLUTION: The sides of a rectangle are x and x+6. The area of the rectangle is 55. Find the lenghts of the sides.(an algebraic solution will be accepted.)

Algebra ->  Rectangles -> SOLUTION: The sides of a rectangle are x and x+6. The area of the rectangle is 55. Find the lenghts of the sides.(an algebraic solution will be accepted.)      Log On


   

Question 196664: The sides of a rectangle are x and x+6. The area of the rectangle is 55. Find the lenghts of the sides.(an algebraic solution will be accepted.)
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
AreaOfRectangle+=+Lenght%2AWidth
55+=+x+%2A+%28x%2B6%29
55+=+x%5E2+%2B+6x
0+=+x%5E2+%2B+6x+-+55
0+=+%28x%2B11%29%28x-5%29
x = -11 or 5
Since a side cannot be negative, x = 5
Then x+6 = 11