Answer:
Therefore,
The area of the rectangle in terms of width
[tex]Area=W^{2}+2W[/tex]
Step-by-step explanation:
Let the Width of rectangle be 'W' inches.
The length of a rectangle be 'L' inches.
According to the given condition,
Length = 2 + Width
[tex]L = W + 2[/tex]
To Find:
Area of Rectangle in terms of Width = ?
Solution:
We have area of rectangle given as
[tex]\textrm{Area of Rectangle}=Length\times Width[/tex]
Substituting the values we get
[tex]Area=(W+2)\times W[/tex]
Applying Distributive property A(B+C)=AB+ACwe get
[tex]Area=W^{2}+2W[/tex] .......As required
Therefore,
The area of the rectangle in terms of width
[tex]Area=W^{2}+2W[/tex]