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Question 1065133: hello! Please help me with this question, I am very confused.
1. a rectangular plot of land is W yards wide and L yards long. The square shaded are will be used to grow fir trees.
(less than half of the plot is shaded, no exact measurements, only W and L)
a. write the polynomial that represents the area of the entire rectangular plot minus the area of the shaded square.
(this is what I got- (LW)-(1/3LW), but I am confused because the shaded area is less than half of the entire area and I do not know what to use for the fraction because there is no way to exactly calculate it.)
b. Rewrite your polynomial from part a in factored form. How does this relate to the dimensions of the area not used to grow fir trees.
(i know how to factor, I just need to now whether I got the right equation. And I believe it would relate to the area not used to grow fir trees because it is 1/3 of the whole area? I think, I honestly don't know)
Thank you all so much for your help in advance. I really appreciate it!
Answer by MathTherapy(10555)   (Show Source):
You can put this solution on YOUR website!
hello! Please help me with this question, I am very confused.
1. a rectangular plot of land is W yards wide and L yards long. The square shaded are will be used to grow fir trees.
(less than half of the plot is shaded, no exact measurements, only W and L)
a. write the polynomial that represents the area of the entire rectangular plot minus the area of the shaded square.
(this is what I got- (LW)-(1/3LW), but I am confused because the shaded area is less than half of the entire area and I do not know what to use for the fraction because there is no way to exactly calculate it.)
b. Rewrite your polynomial from part a in factored form. How does this relate to the dimensions of the area not used to grow fir trees.
(i know how to factor, I just need to now whether I got the right equation. And I believe it would relate to the area not used to grow fir trees because it is 1/3 of the whole area? I think, I honestly don't know)
Thank you all so much for your help in advance. I really appreciate it!
It would've been nice if you'd included the diagram, but I can do without it.
Let one of the longer sides be L, and one of the shorter sides, W
Then area of rectangle = LW
Shaded region is a square and one of its sides will be W
Therefore, area of square = 
a. Area of entire rectangular plot minus area of the shaded square: 
b. Polynomial from part a in factored form: 
Note that the factored form of the polynomial: W(L - W) REPRESENTS the dimensions of the SECTION NOT USED to grow trees.
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