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A square deck has a side length of x + 5. You are expanding the deck so that each side is 4 times as long as the side length of the original deck. What is the area of the new deck? Show your work and write your answer in standard form.

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Luv2Teach
If you are expanding the side length x+5 by a multiple of 4, your new side would look like this: 4(x+5) or, simplifying, 4x+20.  The area of this new, bigger square would be found by squaring the 4x+20 to get 16x^2 + 160x + 400
ashishdwivedilVT

The area of the expanded square deck is 16x² +400 + 160x.

It is given that

Side of original square deck = x+5

What is the area of a square?

The area of a square with side a is a².

So, area of original square deck = (x+5)²

Side of the expanded square deck = 4(x+5) = 4x+20

So, area of the expanded square deck = (4x+20)²

Area of the expanded square deck = 16x² +400 + 160x

Therefore, the area of the expanded square deck is 16x² +400 + 160x.

To get more about the square visit:

https://brainly.com/question/25092270

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