Aballroom 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

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)²

Substitute the respective value in above formula.

400 = (side)²

√400 = side

20 feet = side

Ignore 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 feet

Now find the area of new square = (side)²

A = 21²

A = 21×21

A = 441 square feet

The number 441 is a rational number.

Hence, the area is a rational number.

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step-by-step explanation:

560

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