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!
<pre>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 = {{{W^2}}}
<b>a.</b> Area of entire rectangular plot minus area of the shaded square: {{{LW - W^2}}}
<b>b.</b> Polynomial from part a in factored form: {{{W(L - W)}}}
Note that the factored form of the polynomial: <b>W(L - W)</b> REPRESENTS the dimensions of the SECTION NOT USED to grow trees.