Alexandra

Alexandra made a rectangular quilt that measured 3 1/4. 2 3/4 feet in width. What is the area of the quilt in square feet? Write an equation to solve.

Correct answer:

A =  8 ¹⁵⁄₁₆ = 143/16 ft²

Step-by-step explanation:

$$\begin{gathered} a=3\frac{1}{4}=3+\frac{1}{4}=\frac{3\cdot 4+1}{4}=\frac{12+1}{4}=\frac{13}{4}=3.25\text{ft} \\ b=2\frac{3}{4}=2+\frac{3}{4}=\frac{2\cdot 4+3}{4}=\frac{8+3}{4}=\frac{11}{4}=2.75\text{ft} \\ A=a\cdot b=\frac{13}{4}\cdot \frac{11}{4}=\frac{13\cdot 11}{4\cdot 4}=\frac{143}{16}=\frac{143}{16}{\text{ft}}^2=8\frac{15}{16}{\text{ft}}^2=8.9375{\text{ft}}^2 \end{gathered}$$

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