The diagram shows a scale drawing of a playground. In the scale drawing the playground has a length of 16 cm and a width of 8 cm. The area of the actual playground is 72 square meters what is the scale of the drawing?

3 m : 4 cm, 3 m/4 cm, 3 m to 4 cm

Step-by-step explanation:

The actual playground will have an area of 72 m², and have one side be double the other, because the scale drawing does so too.

We can make a system of equations: l * w = 72, l = 2w

Substitute: 2w * w = 72

Simplify: 2 * w² = 72

Divide: w² = 36

Square root: w = 6 m (no negatives due to distances always > 0)

Substitute: l = 2 * 6 m

Simplify: l = 12 m

This means that the relations of one side is 6 m : 8 cm. That can be simplified to 3 m : 4 cm.