Question

A kids’ splash pool and an adults’ pool are shaped like similar triangles. The dimensions of the kids’ pool are one-fourth of the dimensions of the adults’ pool. If the area of the adults’ pool is 192 square meters, what is the area of the kids’ pool?
Answer
10 m2
12 m2
24 m2
48 m2

Answer 1

Given that they are similar ∆s
\[\frac{A _{1}}{A _{2}} = \left[ \frac{l _{1}}{l _{2}} \right]^2\]
A(kid pool) = (1/4)^2 * 192 = 1/16 * 192 = 12 sq. m