Answer:
A and D
Step-by-step explanation:
Given that the area of a square = 400 units² = s²
Where s is one side length of the square.
It means that the side length (s) = √400 = 20
If the length of each side length increase by 1 units, new side length = 21 units
Area of new square = 21² = 441
The following statements would be true if the side length was increased by 1 units:
A. "The area of the square would be a rational number"
441 is a rational number, because a rational number is a quotient of two integers.
441 and 1 are two integers. Their quotient = 441. I.e. 441 ÷ 1 = 441
D. "The area of the square would be a perfect square".
A number is considered a perfect square if it can be expressed as a product of two equal integers.
441 can be expressed as 21*21
