A ballroom has a square dance floor. The area of the floor is 400 square feet. If the length of each side of the square increased by one foot, would its area be a rational number? Choose each statement that is true about the new dance floor. A. The area of the floor would be a rational number.
B. The area of the floor would be an irrational number.
C. Each side length would be a perfect square.
D. The area of the floor would be a perfect square.
E. The area of the floor would be a nonterminating, nonrepeating decimal.

 A

Step-by-step explanation:   because in the sense that the new area could be written as (x+1)^2  /   1.

Usually we would not bother with the "1" as divisor.

Let's actually do the work:  what is the area of the square if we increase the side length of the existing square by 1 ft?

(x+1)^2 = x^2 + 2x + 1        (This is not a fraction, and thus not the ratio of

                                           two integers, which, in turn, is the definition of

                                           "rational number."

answer: check all that apply, where the options?

step-by-step explanation: