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Plans for the floor of a rectangular bathroom have a length 9 feet greater than its width. The builder wants to decrease both dimensions of the floor of the bathroom by 2 feet.

Plans for the floor of a rectangular bathroom have a length 9 feet greater than its width The builder wants to decrease both dimensions of the floor of the bath class=

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Answer:

[tex]N=w^2+5w-14[/tex]

Step-by-step explanation:

Lets find the area of this rectangle, remember a=hw.

We have an unknown width, although we do know that the height is 9 feet greater than the width. Lets make the equation:

A=x(x+9)

Now lets decrease both dimensions by 2

A=(x-2)((x-2)+9)

Now we just have to distribute and simplify

[tex]A=(x-2)((x-2)+9)\\A=(x-2)(x-2+9)\\A=(x-2)(x+7)\\A=x^2+7x-2x-14\\A=x^2+5x-14[/tex]

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