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Cynthia besch wants to buy a rug for a room that is 18ft wide and 35ft long she wants to leave a uniform strip of floor around rug she can afford to buy 528 ft of carpeting what dimensions should rug have

Respuesta :

Answer:

rug long = 34 ft

rug wide = 17 ft

Step-by-step explanation:

given data

wide = 18 ft

long = 35 ft

area of carpet  = 528 ft

solution

we get here area of floor that is

and we consider length of carpet = 35 - 2x

and width = 18 - 2x

(35 - 2x) × (18 - 2x) = 528      ...................1

solve it we get

x = 25.5 and x = 1

we choose 1 ft. as the width of the strip

so rug long = 35 - 1  = 34 ft

and rug wide = 18 - 1 = 17 ft

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