Answer :
Answer:
[tex]A = 40w-w^2[/tex]
Step-by-step explanation:
We are given the following in the question:
Perimeter of rectangle = 80 inches.
Let l be the length and w be the width of rectangle.
Perimeter of rectangle =
[tex]P= 2(l+w)[/tex]
Putting values, we get,
[tex]80 = 2(l+w)\\40 = l+w\\\Rightarrow l = 40 - w[/tex]
Now, we have to find the area of the rectangle in terms of w.
Area of rectangle =
[tex]A = l\times w[/tex]
Putting values, we get
[tex]A = (40-w)w\\A = 40w-w^2[/tex]
is the required expression of area of rectangle in terms of w.
Yes, the perimeter is used to calculate the length of the rectangle in the term of w.