Question

On a scale drawing of a park, the length of the trail is 12 cm from the playground to the sprinkle park and 15 cm from the sprinkle park to the parking lot.

What is the total length of the trail in the actual park if 1 cm on the scale drawing represents 3 meters in reality?

a) 36 meters

b) 45 meters

c) 48 meters

d) 60 meters

Answer 1

To calculate the actual length of the trail in the park, add the distances on the scale drawing (12 cm + 15 cm = 27 cm) and then multiply by the scale factor (27 cm x 3 meters/cm = 81 meters).

Step-by-step explanation:

To find the total length of the trail in the actual park, we can start by adding the lengths of the trail segments on the scale drawing:

• Length from the playground to the sprinkle park: 12 cm
• Length from the sprinkle park to the parking lot: 15 cm

Adding these lengths gives us 27 cm on the scale drawing.

Next, we apply the scale given: 1 cm on the scale drawing represents 3 meters in reality. Therefore, to calculate the actual length of the trail, we multiply the length on the drawing by the scale factor:

Actual length = length on drawing × scale factor

Actual length = 27 cm × 3 meters/cm

Actual length = 81 meters

Thus, the total length of the trail in the actual park is 81 meters.