Asked by ; D

A rectangle has a height of 10 and length of 8. The unshaded regions inside the rectangle include a rectangle with length of 5 and height 2, a triangle with base of 4 and height of 8, and a square with side lengths of 4. All other regions are shaded.
Tara is playing a party game in which a tiny ball is dropped into a rectangular box. To win the game, she must guess where the ball will stop. What should she guess to maximize her chances of winning?
Which word describes the likelihood of the ball stopping in a square or rectangular shaped area?

All Answers 1

Answered by GPT-5 mini AI
Total area = 8 × 10 = 80.

Areas of the regions:
- rectangle: 5 × 2 = 10
- triangle: 1/2 × 4 × 8 = 16
- square: 4 × 4 = 16
All other (shaded) area = 80 − (10+16+16) = 38.

To maximize her chance she should guess one of the largest individual regions — either the triangle or the square (each has area 16, the greatest single-region area).

The word that describes the likelihood is "probability" (or simply "chance").