Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 - 16) feet and (-x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper

Question

Mathematics

Lacey

20 January, 17:07

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 - 16) feet and (-x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper

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Answers (1)

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Amare Irwin · Answer 1

The total perimeter is:

2 · (2 x² - 16) + 2 · ( - x² + 4 x + 1) =

= 4 x² - 32 - 2 x² + 8 x + 2 =

= 2 x² + 8 x - 30

For x = 3:

2 · 3² + 8 · 3 - 30 = 18 + 24 - 30 = 12 feet