SOLUTION: please i need your help: a rectangle of length x and width w has a perimeter of 22 yards. a) draw a rectangle that gives a visual representation of the problem. Use the specifie

Algebra ->  Rectangles -> SOLUTION: please i need your help: a rectangle of length x and width w has a perimeter of 22 yards. a) draw a rectangle that gives a visual representation of the problem. Use the specifie      Log On


   

Question 346175: please i need your help: a rectangle of length x and width w has a perimeter of 22 yards.
a) draw a rectangle that gives a visual representation of the problem. Use the specified variables to label the sides of the rectangle.
b) show that the width of the rectangle w=11-x and its area is A=x(11-x)
c) use graphing utility to graph the area equation, be sure to adjust your window settings.
d) from the graph in part (c), estimate the dimensions of the rectangle that yield a maximum area.
Thanks a lot!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a rectangle of length x and width w has a perimeter of 22 yards.
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Perimeter = 2(Length + Width)
22 = 2(L+W)
L+W = 11
W = 11-L (width)
L = L (length)
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a) draw a rectangle that gives a visual representation of the problem. Use the specified variables to label the sides of the rectangle.
b) show that the width of the rectangle w=11-L and its area is A=L(11-L)
---
Graph:
graph%28400%2C300%2C-10%2C25%2C-10%2C50%2C11x-x%5E2%29
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c) use graphing utility to graph the area equation, be sure to adjust your window settings.
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d) from the graph in part (c), estimate the dimensions of the rectangle that yield a maximum area.
Ans: around
L = 5.5 and L = 5.5
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Cheers,
Stan H.
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