Question

A point is chosen at random in the large square shown below. Find the probability that the point is in the smaller, shaded square. Each side of the large square is 4cm, and each side of the shaded square is 2cm.Round your answer to the nearest hundredth.

Answer 1

We have to find the probability that the point is in the smaller shaded square.

The probability of a point being located in the smaller square is equal to the ratio between the areas of the smaller square and the bigger square.

Then, we can express it as:

`p=(A_(small))/(A_(big))=((s_(small))^2)/((s_(big))^2)=(2^2)/(4^2)=(4)/(16)=(1)/(4)=0.25`

Answer: the probability tha the point falls in the smaller triangle is equal to 0.25.