Question

A ballroom has a square dance floor. The area of the floor is 400 square feet. Of the length of each side of the square increased by one foot, would its area be a rational number? Explain.

Answer 1

statements A and E are correct

Answer 2

It is given in the question that

A ballroom has a square dance floor. The area of the floor is 400 square feet.

And the formula of the area of the square sides square.

So we will get

400= side^2

Taking square root on both sides,

side=20

And on increasing the side length by one foot, we will get the side length of 21 feet.

And it is not a perfect square.

And the area is

Area= 21^2 = 441ft^2

And 441 is a perfect square and a rational number.

Therefore true statements are A and E.

Explanation:

^ means squared