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

Guest

7 September, 22:01

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

+3

Answers (1)

Know the Answer?

Marilyn Howe · 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