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.

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

Taking square root on both sides,

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

And 441 is a perfect square and a rational number.

Therefore true statements are A and E.

Step-by-step explanation:

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .