Question

friday 2-13-26
mr. shinn has a rectangular-shaped garden
that has a length of $4\frac{1}{4}$ feet and a width of $5\frac{2}{3}$ feet. what is the area, in square feet (sq ft),
of mr. shinns garden?

Explanation:

Step1: Convert mixed numbers to improper fractions

Length: $4\frac{1}{4} = \frac{4\times4 + 1}{4} = \frac{17}{4}$
Width: $5\frac{2}{3} = \frac{5\times3 + 2}{3} = \frac{17}{3}$

Step2: Multiply fractions for area (Area = length × width)

$\text{Area} = \frac{17}{4} \times \frac{17}{3} = \frac{17\times17}{4\times3} = \frac{289}{12}$

Step3: Convert to mixed number (optional)

$\frac{289}{12} = 24\frac{1}{12}$

Answer:

$\frac{289}{12}$ square feet (or $24\frac{1}{12}$ square feet)