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IceJOKER [234]
2 years ago
12

Rhonda is building a rectangular patio. The perimeter of the patio is to be 96 feet. Determine the dimension of the patio if the

length is to be 6 feet less than twice the width
Mathematics
1 answer:
shepuryov [24]2 years ago
3 0

Answer:

Length= 30 ft

Width= 18ft

Step-by-step explanation:

The perimeter of the rectangular patio is to be 96 feet.

the length is to be 6 feet less than twice the width

Perimeter=2(length+width)

But

Length= 2(width)-6

Substituting in perimeter equation

Perimeter=2(length+width)

Perimeter=2((2(width)-6)+width)

Perimeter= 96 feet

Let width= x

Perimeter=2((2(width)-6)+width

96=2((2(x)-6)+x)

96= 4x-12+2x

108= 6x

18= x

Width= 18ft

Length= 2(width)-6

Length= 2(18)-6

Length= 36-6

Length= 30 ft

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