The width of a rectangle is unknown the length of the rectangle is two more units than it's with what is simple find elderberry expression for the area of the rectangle in terms of width

Respuesta :

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]

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