Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

stu is laying brick down to make a patio. he plans for the patio to be …

Question

stu is laying brick down to make a patio. he plans for the patio to be 12.5 feet by 18.3 feet. he orders enough brick for 247 square feet. which statement about the amount of brick is correct?
stu estimated correctly by rounding up. he ordered enough brick. the exact area is 228.75 square feet.
stu estimated correctly by rounding down. he ordered enough brick. the exact area is 228.75 square feet.
stu did not estimate correctly by rounding up. he did not order enough brick. the exact area is 228.75 square feet.
stu did not estimate correctly by rounding down. he did not order enough brick. the exact area is 228.75 square feet.

Explanation:

Step1: Calculate the exact area

The area of a rectangle is $A = l\times w$. Here, $l = 18.3$ feet and $w=12.5$ feet. So $A=18.3\times12.5 = 228.75$ square - feet.

Step2: Compare with the ordered amount

Stu ordered enough brick for 247 square - feet. Since $228.75<247$, and $228.75$ rounded up to the nearest whole number is 229. Stu estimated correctly by rounding up.

Answer:

Stu estimated correctly by rounding up. He ordered enough brick. The exact area is 228.75 square feet.