I need help on a question about Geometric Probility

Question

A tennis player is hitting balls at a 32 ft × 47 ft rectangular target. The target contains a smaller rectangle that is 11 ft × 16 ft. If it is equally likely to hit any point on the target, what is the probability that the tennis player will hit the smaller rectangle?

Answer 1

Geometric Probability Formula

P(hit small rectangle) = Area of small rectangle ÷ Area of large target

(11 × 16) ÷ (32 × 47)

= 176 ÷ 1,504

= 11/94

≈ 0.1170 ≈ 11.70%

So the tennis player has roughly an 11.7% chance of hitting the smaller rectangle