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? explain

Answer:The area is a rational number.Step-by-step explanation:Consider the provided information.A ballroom has a square dance floor. The area of the floor is 400 square feet. Area of square = (side)²Substitute the respective value in above formula.400 = (side)²√400 = side20 feet = sideIgnore the negative value as side cannot be a negative number.Now it is given that the length of each side of the square increased by one foot, Thus, the new side is 20 + 1 = 21 feetNow find the area of new square = (side)²A = 21²A = 21×21A = 441 square feetThe number 441 is a rational number.Hence, the area is a rational number.