Ken wants to build a table and put a border around it. the table and border must have an area of 3,276 square feet. the table is 36 inches wide and 72 inches long without the border. which quadratic equation can be used to determine the thickness of the border, x?

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Step-by-step explanation:

The area of the table and border can be computed by using the following second order-polynomial:

The thickness of the border can be determined by expanding and simplyfiying the algebraic expression:

The roots of the polynomial are:

and

Knowing that length is a positive unit, the first root is the only solution that is reasonable:

what is the question? i am guessing you are looking for the area.

to find an area, you have to do length x width.

in this case, it would be 12 ft x 4 ft = 48 sq. ft

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8