SOLUTION: Mr. Calvillo wants to enclose a rectangular are 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 2

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mr. Calvillo wants to enclose a rectangular are 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 2      Log On


   

Question 160079: Mr. Calvillo wants to enclose a rectangular are 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 28 feet, the garden will be 30 feet long. How long will a 45 foor wide garden be?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Similar to Boyle's LAw in Physics wher Pressure is inversely proportional to Volume, we can also conlude a formula accdg. to the square footage of a rectangle to the above problem:
L%5B1%5DW%5B1%5D=L%5B2%5DW%5B2%5D
where,
L%5B1%5D=30ft, W%5B1%5D=28ft
L%5B2%5D=x, W%5B2%5D=45ft
Substituting,
%2830ft%29%2828ft%29=L%5B2%5D%2845ft%29
840ft%5E2=L%5B2%5D%2845ft%29 ---> cross%28840ft%5E2%2918.67ft%2Fcross%2845ft%29=L%5B2%5D%2Across%2845ft%29%2Fcross%2845ft%29
L%5B2%5D=18.67ft ANSWER. The length decreases as the Width becomes bigger --> inversely proportional.
Thank you,
Jojo