The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m). a coach has drawn a scale model of the field on a blackboard. if the longest side of his drawing is 18 cm, how long is the other side of the drawing( w)?

13.5 cm

Step-by-step explanation:

Given the actual width and length of a regulation soccer field, we can set up the following ratio:

Since we know the length of the scale model to be 18 cm, we can set up a proportion (equivalent ratios) to find the missing side:

Cross-multiply and divide:  4x = 3(18) or 4x = 54

Solve for x: x = 13.5 cm

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743