Find the actual dimensions of the garden.

Question

Now, use the scale and the map to find the length of the actual garden. The length of the garden is 10 cm, or 10 groups of 1 cm. Each centimeter on the map is 2 m on the actual farm, so find 10 groups of 2 m to find the length of the actual garden.
Left Image: A scale map of a farm, with outer dimensions labeled 10 cm by 15 cm. Within the farm are a barn, corral, and garden, which is labeled 3 cm by 10 cm. Right Image: An overhead picture of a farm, with outer dimensions labeled 20 m by 30 m. Within the farm are a barn, corral, and garden, with length highlighted and labeled "Length."
Scale: 1 cm = 2 m

The length of the actual garden is
meters.

Answer 1

To find the actual dimensions of the garden based on the scale provided, we can follow these steps:

1. Identify the length on the map: The length of the garden on the map is given as 10 cm.

2. Understand the scale: The scale states that 1 cm on the map corresponds to 2 m in reality.

3. Calculate the actual length:

   • Since the length of the garden is 10 cm on the map, we can calculate the actual length in meters by multiplying: \[ \text{Actual length} = \text{Length on map} \times \text{Scale factor} = 10 , \text{cm} \times 2 , \text{m/cm} = 20 , \text{m} \]

Therefore, the length of the actual garden is 20 meters.