Question

To complete a job, three workers get paid at a rate of P^(600) per hour. If the total pay for the job was P⁹⁰⁰⁰, then how many hours did the three workers spend on the job?

Answer 1

The missing side length in similar polygons can be found by setting up and solving a proportion between the corresponding sides of the polygons.

Step-by-step explanation:

When dealing with similar polygons, the corresponding sides are in proportion. This property helps in finding the missing side length. For instance, if one side of a smaller polygon is 5 units and the corresponding side of a larger polygon is 10 units, and you're looking for the missing side of the smaller polygon, let's denote it as x. The proportion would be 5/10 = x/missing side length.

Once the proportion is set up, cross-multiply and solve for the missing side length. In this example, multiplying 5 by the missing side length (let's call it x) gives 5x, and multiplying 10 by 1 gives 10. So, the equation becomes 5x = 10. Solving for x by dividing both sides by 5 gives x = 2. Therefore, the missing side length in this scenario would be 2 units.

By utilizing the property of similar polygons where corresponding sides are in proportion, setting up and solving a proportion enables the determination of the missing side length accurately.