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.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,