Question

In the given figure, JKLM is a square with sides of length 6 units. Points A and B are the mid points of sides KL and LM respectively. If a point is selected at random from the interior of the square. What is the probability that the point will be chosen from the interior of ΔJAB?

Answer 1

Given: JKLM is a square with sides of length 6units. Points A and B are the midpoints of sides KL and ML respectively. If a point is selected at random from the interior of the square

To find: Probability that the point will be chosen from the interior of ΔJAB.

We the following figure

Area of square JLKM is equal to

Now we have

Now area of the triangle AJB

We know that Probability

=

Hence the Probability that the point will be chosen from the interior of ΔAJB is .