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Nate's client said she wanted the width of w of every room in her house increased by two feet and the length 2w decreased by 5 feet. The polynomial (w+2) (2w-5) or 2w2- w -10 gives the new area of any room in the house. The current width of the kitchen is 16 feet what is the area of the new kitchen? Write either expression substitute___for w PLEASE HELP!!!! ASAP!!!

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JeanaShupp

Answer: 486 sq. feet.

Step-by-step explanation:

Given, w represents the width of the room, such that

. The polynomial (w+2) (2w-5) or [tex]2w^2- w -10[/tex]gives the new area of any room in the house.

If current width of the kitchen is 16 feet, the put w= 16 in the above expression, we get

Area of the new kitchen = [tex](16+2) (2(16)-5)[/tex] sq. feet  

[tex]=(18)(27)=486\text{ sq. feet}[/tex]

Hence, the area of the new kitchen = 486 sq. feet.

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