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Cynthia Besch wants to buy a rug for a room that is 21 ft wide and 27 ft long. She wants to leave a
uniform strip of floor around the rug. She can afford to buy 187 square feet of carpeting. What
dimensions should the rug have?​

Respuesta :

Answer:

Dimension of rug [tex]\left ( 19.4935feet,19.4935 feet\right )[/tex]

Step-by-step explanation:

Given,

Area of room[tex]=21\times 27[/tex][tex]=567[/tex] square feet

Area of carpet[tex]=187[/tex] square feet

Let dimension of rug be (a,a)feet

Area of rug[tex]=567-187=380[/tex] square feet

[tex]a^{2} =380[/tex]

[tex]a =\sqrt{380}=19.4935 feet[/tex]

Dimension of rug[tex]\left ( 19.4935feet,19.4935feet \right )[/tex]

Answer:

17,11

The answer to your question is 17, 11

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