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serious [3.7K]
3 years ago
14

What is the probability that a point chosen at random in the given figure will be inside the smaller square?

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
4 0
The probability of randomly selecting the smaller square in 9/25.
nikklg [1K]3 years ago
3 0

Answer: \dfrac{9}{25}

Step-by-step 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)}=\dfrac{\text{Area of smaller square}}{\text{Area of larger square}}\\\\\Rightarrow\ \text{P(smaller square)}=\dfrac{9}{25}

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