Cynthia Besch wants to buy a rug for a room that is 21 ft wide and 28 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 494 square feet of carpeting. What dimensions should the rug have?
The dimensions of the rug should be ft.
(Use a comma to separate answers as beeded.)

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Room area, 23*32

Rug area, (23-2x)(32-2x)

Uniform strip around rug, x

Rug area value will be 442 square feet.

highlight%28%2823-2x%29%2832-2x%29=442%29

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Algebra steps lead to 2x%5E2-55x%2B147=0.

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discriminant is 43%5E2.

x=%2855%2B-+43%29%2F4

x=%2855-43%29%2F4

highlight_green%28x=3%29the uniform width between walls and rug

Rug Dimensions:

17 feet and 26 feet

Step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

positive

step-by-step explanation:

the quadrant is facing upwards