Inside a rectangle with sides equal to 15 cm and 8 cm, there is a square with a side of 6 cm.
May 25, 2021 | education
| Inside a rectangle with sides equal to 15 cm and 8 cm, there is a square with a side of 6 cm. A point inside the rectangle is randomly marked, what is the probability that this point will be located outside the square?
The area of the rectangle is 15 * 8 = 120 cm ^ 2.
The area of the square inside the rectangle is 6 * 6 = 36 cm ^ 2.
The area of the figure, which is a rectangle with a square cut out of it:
120 – 36 = 84 cm ^ 2.
Then the probability that a point randomly selected in the rectangle will be located outside the square is equal to:
84/120 = 21/30 = 7/10 = 0.7.
Answer: 0.7.
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