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PtichkaEL [24]
3 years ago
5

A large rectangular shaped aquarium has a volume of 300 ft3. If the aquarium has a height of 3 feet and a length of four more fe

et than the width, find the length and width of the aquarium.​
Mathematics
1 answer:
KIM [24]3 years ago
3 0

Answer:

length is 14.4ft and the width is 12.4ft

Step-by-step explanation:

Volume of the aquarium = length * width * height

Given

Volume = 300ft^3

Height = 3feet

l = w+4

Substitute

300 = 3w(w+4)

100 = w(w+4)

100 = w^2+4w

w^2+4w-100 = 0

w = 4±√16+400/2

w =4±√416/2

w = 4±20.4/2

w = 24.4/2

w = 12.2feet

Since l = w+4

l = 12.2+4

l = 16.4ft

hence the length is 14.4ft and the width is 12.4ft

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The complete question in the attached figure

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