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Write a polynomial that represents the area of the square.

Write A Polynomial That Represents The Area Of The Square class=

Sagot :

bowmaian000

Answer:

[tex]4x^2+28x+49[/tex]

Step-by-step explanation:

To find the polynomial, we must first find the side lengthts of the square.

The side length in your image is x 7 x, which equates to 2x+7. This is because we combine the 2 x's, and then add the 7. The area of a square is: [tex]l^2[/tex]

Since our l = 2x+7, the total area would be [tex](2x+7)^2[/tex] or:

[tex](2x+7)(2x+7)=a[/tex]

Now to find the answer, we can use foil.

The formula for foil is:

[tex](a+b)*(c+d) = ac+ad+bc+bd[/tex]

So using the formula, we can plug in our values to get:

[tex](2x+7)(2x+7) = (2x*2x)+(2x*7)+(2x*7)+(7*7)[/tex]

This equates to:

[tex](4x^2)+(14x)+(14x)+(49)[/tex]

Which can then be simplfied into:

[tex]4x^2+28x+49[/tex]

This is our answer!
Hope it helps :3

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