Question

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 all that apply.
Answers:

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.

Answer 1

D

Explanation:

Area of square=400sq.ft

or,l²=400sq.ft

or,l=(400sq.ft)½

or,l=(20²sq.ft)½

or,l=20ft

Thus,length of square is 20ft.

If length of square is increased by 1 ft then ,

New length=(20+1)ft=21ft

Area of square=(21ft)²

=441sq.ft

Answer 2

it would be D? right or no