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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.

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 class=

Respuesta :

The probability of randomly selecting the smaller square in 9/25.
JeanaShupp

Answer: [tex]\dfrac{9}{25}[/tex]

Step-by-step explanation:

The area of a square is given by :-

[tex]\text{Area}=\text{(side)}^2[/tex]

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

Then the area of smaller square :-

[tex]\text{Area}=\text{(3}^2=9\ cm^2[/tex]

The side length of the larger square = 5 cm

Then the area of larger square :-

[tex]\text{Area}=\text{(5)}^2=25\ cm^2[/tex]

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

[tex]\text{P(smaller square)}=\dfrac{\text{Area of smaller square}}{\text{Area of larger square}}\\\\\Rightarrow\ \text{P(smaller square)}=\dfrac{9}{25}[/tex]

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