A kids’ splash pool and 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 area of the adults’ pool is 225 square meters, what is the area of the kids’ pool?

112m^2
225 m^2
9 m^2
45 m^2

(I think its 9 m^2, but can you check it?)

Question

A kids’ splash pool and 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 area of the adults’ pool is 225 square meters, what is the area of the kids’ pool?

112m^2
225 m^2
9 m^2
45 m^2

(I think its 9 m^2, but can you check it?)

ganpat · Answer

The dimensions of the kids’ pool are one-fifth of the dimensions of the adults’

So area for similar triangle should be of the ratio 1:5..

So A1/5 = 225/5 = 45... m2..

anonymous · Answer

For area, aren't you supposed to square the ratio?

ganpat · Answer

Area = 1/2 * base * ht...

so say, b2 = b1/5 and h2 = h/5..

So Area 2 = 1/2 * b1/ 5 * b2/5

so A2 = A1/ 25 ... = 225/25 = 9 m2..

i guess, u r right... 9 shd be answer.. sorry, i was wrong..

anonymous · Answer

Thank you for reassuring my answer. (: