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

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

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snehashish65 snehashish65 · Answer 2 · 2022-06-24T18:18:04+02:00

The length of the entire rubber bumper is 12 Feet.

What is area and perimeter of rectangle?

The perimeter P of a rectangle is given by the formula, P=2l + 2b , where l is the length and w is the width of the rectangle.

The area A of a rectangle is given by the formula, A=l x b , where l is the length and w is the width.

According to the question,

The dimensions of the rectangular table are

[tex](2x^{2} - 16 ) , (- x^{2} + 4 x + 1 )[/tex]

Total perimeter of table:

[tex]2( 2x^{2} - 16 ) + 2( - x^{2} + 4 x + 1 )[/tex]

[tex]= 4 x^{2} - 32 - 2 x^{2} + 8 x + 2[/tex]

[tex]= 2 x^{2} + 8 x - 30[/tex]

Now , Put x = 3

[tex]= 2*3^{2} + 8*3 - 30[/tex]

[tex]= 18 + 24 - 30[/tex]

[tex]= 12 Feet[/tex]

So , the Length of the entire rubber bumper is 12 Feet.

Learn more perimeter and area of rectangle here:

https://brainly.com/question/16572231

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