SOLUTION: Mr.Calvillo wants to enclose a rectangular area for a garden space of a given square footage. The length of the plot will vary inversely as the width. If he decides on a width of 1

Algebra ->  Graphs -> SOLUTION: Mr.Calvillo wants to enclose a rectangular area for a garden space of a given square footage. The length of the plot will vary inversely as the width. If he decides on a width of 1      Log On


   

Question 164421: Mr.Calvillo wants to enclose a rectangular area for a garden space of a given square footage. The length of the plot will vary inversely as the width. If he decides on a width of 18 feet, the garden will be 30 feet long. How long will a 45 foot wide garden be?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can express the inverse variation of the length (L) and width (W) as:
L+=+k%2FW where k is the constant of variation. To find the value of k, substitute the given values of L (30 ft.) and W (18 ft.).
30+=+k%2F18 Solve for k.
k+=+30%2818%29
k+=+540
So now the equation of variation is:
L+=+540%2FW Substitute W = 45 ft. to find L.
L+=+540%2F45
L+=+12
The garden would be 12 feet long.