Question

A banquet table is formed by placing three square-topped tables edge to edge. The square tabletop of each small table has an area represented by x2−6x+9. What is the overall length of the entire banquet table?

A.$3x^{2} -9$
B.$x-3$
C.$3x^{2} -18x+27$
D$3x-9$

Answer 1

Answer:

Option D: 3x - 9

Step-by-step explanation:

We are told that A banquet table is formed by placing three square-topped tables edge to edge.

This means means that the 4 sides are equal and the length of the entire banquet table is; 3 x side of the table

Now, the table has an area which is x² − 6x + 9.

Thus, one side will be a factor of the quadratic equation.

From quadratic formula, the factor of the equation is; (x - 3)(x - 3)

Thus,one side is (x - 3).

So, length of entire table is;

L = 3(x - 3)

L = 3x - 9