Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet. Which statement about the amount of tiles is correct?

Question

Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.
Kerrie estimated correctly by rounding up. She has enough tile. The exact area is 104.5 square feet.
Kerrie did not estimate correctly by rounding up. She does not have enough tile. The exact area is 104.5 square feet.
Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.

Answer 1

To determine the correct statement regarding Kerrie's tiling situation, we first need to calculate the exact area of the kitchen floor.

The area \( A \) of a rectangle is given by the formula: \[ A = \text{length} \times \text{width} \] In this case: \[ A = 11.3 \text{ feet} \times 9.25 \text{ feet} \]

Calculating this: \[ A = 104.225 \text{ square feet} \]

Now, Kerrie ordered enough tiles for 99 square feet. We can compare the area of the floor with the amount of tile she has.

Since \( 104.225 \text{ square feet} \) is greater than \( 99 \text{ square feet} \), Kerrie does not have enough tiles to cover the entire floor.

Next, we analyze the estimation. She ordered enough tiles for \( 99 \text{ square feet} \). If she rounded down the area or estimated it poorly by any means to result in that number, it signifies that she indeed did not estimate correctly since the actual area is significantly more than what she ordered.

So the correct statement is:

Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.

(Note: The area should be \( 104.225 \) square feet, not \( 104.5 \) square feet, but the primary focus is on the conclusion regarding tile sufficiency.)