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bearhunter [10]
3 years ago
15

Consuelo's living room is the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 its l

ength. What is the length of the living room?
Mathematics
1 answer:
zlopas [31]3 years ago
3 0

Answer:

The answer to your question is length = 24 ft

Step-by-step explanation:

Data

Rectangular-shaped

Area = 360 ft²

lenght = x

width = 5/8x

Formula

Area = length x width

- Substitution

360 = (x)(5/8x)

- Solve for x

360 = 5/8x²

x² = 360(8)/5

x² = 2880 / 5

x² = 576

- Result

x = 24 ft

- Conclusion

The length of the living room is 24 ft and the width is 24(5/8) = 15 ft.

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Answer:

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Step-by-step explanation:

Simplifying

3x + 15 = 6x + 3

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15 + 3x = 6x + 3

Reorder the terms:

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Solving

15 + 3x = 3 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

15 + 3x + -6x = 3 + 6x + -6x

Combine like terms: 3x + -6x = -3x

15 + -3x = 3 + 6x + -6x

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15 + -15 + -3x = 3 + -15

Combine like terms: 15 + -15 = 0

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Combine like terms: 3 + -15 = -12

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x = 4

Simplifying

x = 4

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