Question

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?

Answer 1

P = 2x² + 8x - 30

P = 12 (if x = 3)

Explanation:

Perimeter Formula: 2l + 2w

Step 1: Find perimeter

2(2x² - 16) + 2(-x² + 4x + 1)

4x² - 32 - 2x² + 8x + 2

2x² + 8x - 30

Step 2: Plug in x = 3

2(3)² + 8(3) -30

18 + 24 - 30

42 - 30

12