The area that an Olympic swimming pool takes up is 1,250 m². Nick is installing a new pool in his yard to practice for his swim meets. The pool he is installing is similar to the Olympic pool, but one-third the dimensions. What is the area of Nick's pool?

Area of Nick's swimming pool = 417 m²

Step-by-step explanation:

Let a x b represent the dimension of an Olympic swimming pool

let 1/3(a x b) represent the dimension of Nick's swimming pool

Using direct proportion;

a x b 1250 m²

¹/₃(a x b) x m²

X = 1250 x ¹/₃(a x b) / a x b = 416.66667 m² ≅ 417 m²

147,000

Step-by-step explanation: you multiply 21,000 and 7