Antique Persian Rugs

Oriental Area Rug

Algebra: Quadratic Word Problem?

Abbie is an interior designer who has been asked to find an oriental rug for a new corporate office. As a rule, the rug should cover 1/2 of the total floor area with a uniform width surrouding the rug. If the dimensions of the room are 12 feet by 16 feet, find the dimensions of the rug that Abbie should look for.

I'm having so much trouble with this problem, I did it like 10x times and kept on getting different answers! Please explain it step by step if possible thanks!

we can let the uniformed width be x
then one dimension of the rug would have to be 12-2x (taking the width from both ends)
and the other dimension of the rug would have to be 16-2x (taking the width from both ends)
product of the dimensions = area
(remember area of rug is only half of the area original 12*16 = 1/2 (192)= 96)
we get
(12-2x)(16-2x) = 1/2 (192)
(12-2x)(16-2x) = 96
192 - 56x +4x² = 96
4x² - 56x + 192 - 96 = 0
4x² - 56x + 96 = 0 factorizing common factor 4 gives
4(x² - 14x + 24) = 0
since 4 is not =0 then x² - 14x + 24 = 0 factorizing completely gives (x-12)(x-2) = 0
so x-12 = 0 or x-2=0
x = 12 or 2
the width cannot be 12 so it must be 2
so the dimensions are 12-2(2) = 12 - 4 = 8
and 16 - 2(2) = 16 - 4 = 12
dimensions of the rug is 8 x 12

hope that helped

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6 7 x 9 6 Rectangular Area Rug - Allure 54c by Oriental Weavers Sphinx Allure Collection $599 6 7 x 9 6 Rectangular Area Rug - Allure 54c by Oriental Weavers Sphinx Allure Collection

7 8 Round Area Rug - Allure 54c by Oriental Weavers Sphinx Allure Collection $599 7 8 Round Area Rug - Allure 54c by Oriental Weavers Sphinx Allure Collection

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7 8 Round Area Rug - Allure 004e1 by Oriental Weavers Sphinx Allure Collection $599 7 8 Round Area Rug - Allure 004e1 by Oriental Weavers Sphinx Allure Collection

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Oriental Area Rugs



How do I choose a good quality area rug that is affordable?

I don't know what signifies quality such as fabric, pattern, style, etc.
I need someting large such as 8 X 10.
I am not into busy patterns, so most likely the typcal oriental rugs would not be for me.

If you want a long term rug, wool is the best. A large one will not be cheap and be sure to buy a pad for under the rug, it will extend the life of it.

As far as pattens and style, that is a personal decision. What do you like? Don't go with a very light color or you'll be cleaning it all the time.

Try www.homedecoratorsoutlet.com for some real bargains on good quality rugs.

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