contestada


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

Respuesta :

Riia

It is given in the qustion that

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

And the formula of area of square is side square.

So we will get

[tex]400 =  side^2[/tex]

Taking square root on both sides,

[tex]side = 20[/tex]

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

And it is not a perfect square .

And the area is

[tex]Area= 21^2 = 441 ft^2[/tex]

And 441 is a perfect square and a rational number .

Therefore true statements are A and E .