Question

A kids splash pool an adults pool are shaped like similar triangles.the dimensions of the kids pool are one fifth of the dimensions of the adults pool if the are do the adult pool is 225 square meters what is the area of the kids pool?
112M2
225M2
9M2
45M2

Answer 1

@Scroll0405

The two pools are geometrically similar. The ratio of corresponding linear measurements is the same.

The ratio of the kid pool to the adult pool dimensions is one to five or 1/5. Think of 1/5 as the scale factor.

This theorem applies:

If two solids are similar, the square of the scale factor of the two solids is equal to the ratio of any two corresponding area measurements of the solids.

So, (1/5)² = x/225 where x is the area of the kid pool.

So, solve the equation for x to get the area of the kid pool.

Let me know what you get, okay?