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. If x= 3, what is the length of the entire rubber bumper?

Answer 1

To find the length of the entire rubber bumper, we need to calculate the dimensions of the coffee table using the given equations and the value of x=3. The length of the entire rubber bumper is the sum of all the sides of the coffee table, which is 96 feet.

Step-by-step explanation:

To find the length of the entire rubber bumper, we need to find the perimeter of the coffee table. The perimeter of a rectangle is given by the sum of all its sides. In this case, the dimensions of the coffee table are (2x²-16) feet and (-x²+4x+1) feet.

Plugging in the value of x=3, we can calculate the dimensions of the coffee table as (2(3)²-16) feet = 38 feet and (-3²+4(3)+1) feet = 10 feet.

The length of the entire rubber bumper is the sum of all the sides of the coffee table. Therefore, the length of the entire rubber bumper is 38 + 10 + 38 + 10 = 96 feet.