Question

I need help. Question: a ballroom has a square dance for. The area of the floor is 400 square feet . is the length of each side of the square increased by 1 foot, would its area be a rational number? Explain .

Answer 1

We know that

• The area of the floor is 400 square feet.

,

• The length is increased by 1 foot each side.

The area of a square is defined as

`A=l^2`

Where A = 400, so

`400=l^2\rightarrow l=√(400)=20`

Each side is 50 feet long. But, if we increase it as the problem indicates, then each side would be 21, and the area would be

`A=(21)^2=441ft^2`

Therefore, the answer is yes, the area would be a rational number if we increase each side by 1 foot.