Dion is laying brick down to make a patio. He plans for the patio to be 8.75 feet by 14.8 feet. He orders enough brick for 135 square feet. Which statement about the amount of brick is correct?

Question

Dion estimated correctly by rounding up. He ordered enough brick. The exact area is 129.5 square feet.
Dion estimated correctly by rounding down. He ordered enough brick. The exact area is 129.5 square feet.
Dion did not estimate correctly by rounding up. He did not order enough brick. The exact area is 129.5 square feet.
Dion did not estimate correctly by rounding down. He did not order enough brick. The exact area is 129.5 square feet.

Answer 1

To find the exact area of the patio Dion is planning, we can calculate it using the formula for the area of a rectangle:

\[ \text{Area} = \text{length} \times \text{width} \]

Given the dimensions 8.75 feet and 14.8 feet:

\[ \text{Area} = 8.75 \times 14.8 \]

Calculating this gives:

\[ \text{Area} = 129.1 \text{ square feet} \]

Now, we can compare this with the amount of brick Dion ordered (135 square feet).

1. Dion estimated correctly by rounding up. He ordered enough brick. The exact area is 129.5 square feet. - Incorrect. The area is actually 129.1 square feet.

2. Dion estimated correctly by rounding down. He ordered enough brick. The exact area is 129.5 square feet. - Incorrect. The area is actually 129.1 square feet.

3. Dion did not estimate correctly by rounding up. He did not order enough brick. The exact area is 129.5 square feet. - Incorrect. He did order enough brick and the area calculation is wrong.

4. Dion did not estimate correctly by rounding down. He did not order enough brick. The exact area is 129.5 square feet. - Incorrect. The area is actually 129.1 square feet, and he did order enough brick.

The most accurate statement would reflect that Dion ordered enough brick, but none of the options provided are completely correct based on the actual dimensions.

Thus, when considering the calculations and the statements, it shows that Dion did not estimate the area accurately with respect to the statements, which all suggest an area of 129.5 square feet or incorrect conclusions on whether he ordered enough.

In conclusion, the correct interpretation, based on the area calculated, should be:

• Dion ordered enough brick (135 square feet > 129.1 square feet), but the precise area is not as detailed in the given options. The most closely aligned statement is about not estimating correctly since he suggested it was about 130 square feet but landed under the actual calculation.