Question

This is a scale drawing of an actual farm. What percent of the farm is the greenhouse?
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 vegetable garden and a greenhouse with dimensions 25 cm by 10 cm.
The area of the entire farm is
square cm.

Answer 1

To find the area of the entire farm on the scale drawing, we can use the formula for the area of a rectangle:

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

Given the dimensions of the farm are 50 cm by 20 cm:

\[
\text{Area of the farm} = 50 \, \text{cm} \times 20 \, \text{cm} = 1000 \, \text{cm}^2
\]

Next, we need the area of the greenhouse, which has dimensions of 25 cm by 10 cm:

\[
\text{Area of the greenhouse} = 25 \, \text{cm} \times 10 \, \text{cm} = 250 \, \text{cm}^2
\]

Now, to find the percent of the farm that is occupied by the greenhouse, we can use the formula:

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

Substituting the values we've calculated:

\[
\text{Percentage} = \left( \frac{250 \, \text{cm}^2}{1000 \, \text{cm}^2} \right) \times 100 = 25\%
\]

Thus, the greenhouse occupies 25% of the farm.