This is a scale drawing of an actual farm. What percent of the farm is the vegetable garden?

Question

Start by finding the area of the entire farm on the map.
A scale map of a farm with dimensions 50 cm by 20 cm. Within the farm are a greenhouse and a vegetable garden with dimensions 10 cm by 10 cm.
The area of the entire farm is
1000
square cm.
Great job!
Next, find the area of the vegetable garden on the map.
A scale map of a farm with dimensions 50 cm by 20 cm. Within the farm are a greenhouse and a vegetable garden with dimensions 10 cm by 10 cm.
The area of the vegetable garden is
square cm.

Answer 1

To find the area of the vegetable garden on the map, we can use the formula for the area of a rectangle, which is:

\[ \text{Area} = \text{length} \times \text{width} \]

For the vegetable garden, the dimensions are 10 cm by 10 cm. So:

\[ \text{Area of the vegetable garden} = 10 , \text{cm} \times 10 , \text{cm} = 100 , \text{square cm} \]

Thus, the area of the vegetable garden is 100 square cm.

Next, to find the percentage of the farm that the vegetable garden occupies, we can use the following formula:

\[ \text{Percentage} = \left( \frac{\text{Area of the vegetable garden}}{\text{Area of the entire farm}} \right) \times 100 \]

Substituting the areas we have:

\[ \text{Percentage} = \left( \frac{100 , \text{square cm}}{1000 , \text{square cm}} \right) \times 100 = 10% \]

So, the vegetable garden occupies 10% of the entire farm.