Question

Carrie has a planter box with an area of StartFraction 4 Over 5 EndFraction of a square meter. She wants to plant 10 snap pea seeds, each with an equal amount of room to grow. What area will she give to each snap pea plant?
StartFraction 1 Over 50 EndFraction of a square meter
StartFraction 2 Over 25 EndFraction of a square meter
One-eighth of a square meter
One-half of a square meter

Answer 1

To find the area allocated to each snap pea plant, we need to divide the total area of the planter box by the number of seeds Carrie wants to plant.

The total area of the planter box is \( \frac{4}{5} \) of a square meter.

She wants to plant 10 seeds, so we can calculate the area for each seed as follows:

\[
\text{Area per seed} = \frac{\text{Total Area}}{\text{Number of Seeds}} = \frac{\frac{4}{5}}{10}
\]

To divide the fraction \( \frac{4}{5} \) by 10, we can multiply \( \frac{4}{5} \) by the reciprocal of 10:

\[
\text{Area per seed} = \frac{4}{5} \times \frac{1}{10} = \frac{4 \times 1}{5 \times 10} = \frac{4}{50} = \frac{2}{25}
\]

Thus, the area allocated to each snap pea plant is:

\[
\frac{2}{25} \text{ of a square meter}
\]

So the correct answer is \( \frac{2}{25} \text{ of a square meter} \).