2021 Mock AMC 8 Problems/Problem 2

Problem

Aaron has a rectangular yard measuring $4$ feet by $10$ feet. How many $2$ inch by $5$ inch rectangular bricks can he fit in his yard?

$\mathrm{(A)}\ 4 \qquad\mathrm{(B)}\ 72 \qquad\mathrm{(C)}\ 144 \qquad\mathrm{(D)}\ 288 \qquad\mathrm{(E)}\ 576$

Solution 1

Since there are $12$ inches in a feet, there are $2 \cdot 12$ = $24$ blocks every row. There are also $2 \cdot 12$ = $24$ blocks in each column. Therefore, we have $24 \cdot 24 = \boxed{\textbf{(E) } 576} \qquad$

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2021 Mock AMC 8 Problems/Problem 2

Problem

Solution 1