Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R). Circles E and R overlap. Circle E contains 3, circle R contains 6, and the intersection contains 2. Number 9 is outside of the circles. Given that a randomly chosen quadrilateral has four right angles, what is the probability that the quadrilateral also has four equal side lengths? Express your answer in percent form, rounded to the nearest whole percent. 25% 33% 40% 67%

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Answer:

A. 25%

Step-by-step explanation:

The probability that the quadrilateral has four equal side lengths, given that the quadrilateral has four right angles is 25%

What are quadrilaterals?

Quadrilaterals are shapes that have four sides; these four sides may or may not be:

  • Parallel
  • Congruent

Check below on how to determine the probability

From the question, we have the following parameters:

  • n(E) = 5
  • n(R) = 8
  • n(E and R) = 2
  • None = 9
  • n(U) = 20

The probability that the quadrilateral has four equal side lengths, given that the quadrilateral has four right angles is calculated using:

P(E | R) = n(E and R)/n(R)

This gives

P(E | R) = 2/8

Express as percentage

P(E | R) = 25%

Hence, the probability is 25%

Read more about probability at:

https://brainly.com/question/251701