SOLUTION: What are the dimensions of the largest rectangular garden that can be enclosed with 48 meters of wire?
Please with complete solving solutions
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Question 1166945: What are the dimensions of the largest rectangular garden that can be enclosed with 48 meters of wire?
Please with complete solving solutions Answer by greenestamps(13200) (Show Source):
The largest rectangle with a given fixed area is a square.
If the square is to be enclosed with 48m of wire, the side of the square will be 48/4 = 12m.
ANSWER: 12m by 12m
If you aren't supposed to use that fact to solve the problem, you can do this....
The perimeter is 48m, so length plus width is 24m. So
let x = length
then 24-x = width
Area = length times width:
If you know calculus, you can use it to find the value of x that will make the area a maximum.
Otherwise, you can find that value of x either by graphing the function and finding the value of x that gives maximum area, or by using your knowledge about quadratic functions and parabolas.
