What is the probability that a point chosen at random in the given figure will be inside the smaller square? Enter your answer, as a fraction in simplest form, in the box.

Question

asked Jun 10, 2018 220k views

2 Answers

Alex Filatov · Answer 1 · 2018-06-16T13:49:44+0000

Answer:

Explanation:

The area of a square is given by :-

$\text{Area}=\text{(side)}^2$

Given: The side length of the smaller square = 3 cm

Then the area of smaller square :-

$\text{Area}=\text{(3}^2=9\ cm^2$

The side length of the larger square = 5 cm

Then the area of larger square :-

$\text{Area}=\text{(5)}^2=25\ cm^2$

Now, the probability that a point chosen at random in the given figure will be inside the smaller square is given by :-

$\text{P(smaller square)}=\frac{\text{Area of smaller square}}{\text{Area of larger square}}\\\\\Rightarrow\ \text{P(smaller square)}=(9)/(25)$