SOLUTION: The length and the width of a rectangle are in the ratio of 5:6. If their product is 120, find its length and width.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The length and the width of a rectangle are in the ratio of 5:6. If their product is 120, find its length and width.      Log On


   

Question 172491: The length and the width of a rectangle are in the ratio of 5:6. If their product is 120, find its length and width.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the unit value. Then the lenght is 6x and the width is 5x. You are told the area (product) is 120
120+=+5x+%2A+6x
120+=+30x%5E2
4+=+x%5E2
x = 2 and x = -2
Since a length is never negative, the unit value must be 2
Then, the length is 6%2A2 = 12
And the width is 5%2A2 = 10