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12. A rectangle has a perimeter of 12y² - 2y +18 and has a width of 4y²-y + 6. What is the length of the rectangle?​

2 Answers

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The length is 2y^2 + 3
2 votes

Answer:

2y² + 3

Explanation:

width of one side is 4y² - y + 6.

two equal sides of rectangle = 2(4y² - y +6) = 8y² - 2y + 12.

perimeter = 2 lengths + 2 widths

12y² - 2y + 18 = 2 lengths + 8y² - 2y + 12

2 lengths = (12y² - 2y + 18) - (8y² - 2y + 12)

= 4y² +6

length = 1/2 (4y² +6)

= 2y² + 3

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