Solve. Write a mixed numeral for the answer.
-A square piece of paper has a side length of $s=7 \frac{5}{8}$ inches. A square of side length $\frac{1}{2} \cdot s$ is cut from one corner of the piece of paper. Find the area of the piece of paper that remains.
A) $43 \frac{155}{256} \mathrm{in.}^{2}$
B) $39 \frac{13}{16}$ in. $^{2}$
C) $41 \frac{125}{256}$ in. $^{2}$
D) $54 \frac{21}{64}$ in. $^{2}$

Question

Quizplus · Accepted Answer

The area of the original square piece of paper is $s^2 = \left(7 \frac{5}{8}\right)^2$. The side length of the square cut from the corner is $\frac{1}{2} \cdot s = \frac{1}{2} \cdot 7 \frac{5}{8}$. The area of the cut square is $\left(\frac{1}{2} \cdot 7 \frac{5}{8}\right)^2$. Subtracting the area of the cut square from the original square gives the area of the remaining piece. Calculating these areas and performing the subtraction gives $43 \frac{155}{256} \mathrm{in.}^{2}$.

Solve Write a Mixed Numeral for the Answer s=758s=7 \frac{5}{8}s=785​ Inches a Square of Side Length

Solve Write a Mixed Numeral for the Answer $s=7 \frac{5}{8}$ Inches a Square of Side Length