Question

In the Fig. below, 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

Length of side of square JKLM = 6 cm

Area of square JKLM = 6² = 36 cm²

Since A & B are the mid points of KL & LM

KA = AL = LB = LM = 3 cm

Area of Δ AJB = area of square – area of Δ AKJ – area of Δ ALB – area of Δ BMJ

= 36−(1/2)x6x3 − (1/2)x6x3

= 36 − 9 − 4.5 − 9

= 13.5 sq. units

Probability that the point will be chosen from the interior of ΔAJB = (Area of ΔAJB)/(Area of square)