To find the area that was used for planting peas, we need to calculate \( \frac{1}{4} \) of the total garden area, which is \( 10 \frac{2}{3} \) square feet.
First, we convert \( 10 \frac{2}{3} \) into an improper fraction:
\[ 10 \frac{2}{3} = \frac{10 \times 3 + 2}{3} = \frac{30 + 2}{3} = \frac{32}{3} \text{ square feet} \]
Next, we calculate \( \frac{1}{4} \) of that area:
\[ \frac{1}{4} \times \frac{32}{3} = \frac{32}{12} \]
We can simplify \( \frac{32}{12} \) by dividing both the numerator and the denominator by 4:
\[ \frac{32 \div 4}{12 \div 4} = \frac{8}{3} \text{ square feet} \]
Thus, the area used for planting peas is \( \frac{8}{3} \) square feet, which can also be expressed as \( 2 \frac{2}{3} \) square feet.
Part A Answer:
The area used for planting peas is \( \frac{8}{3} \) square feet or \( 2 \frac{2}{3} \) square feet.