Question

Find the probability that a point in the figure chosen at random is in the

shaded kite. *Remember, the are of a kite is found by one half of diagonal
1 times diagonal 2. *
A)1/3
B)1/4
C)3/4
D)1/2

Answer 1

Correct option: D) 1/2

Explanation:

First we need to find the area of the kite and the area of the rectangle.

The diagonals of the kite are 16 and 12, as they are parallel to the sides of the rectangle.

So the area of the kite is A1 = (1/2) * 16 * 12 = 96

The area of the rectagle is the product of the sides, so A2 = 16 * 12 = 192

Now, to find the probability of a random point being inside the kite, we just need to divide the area of the kite by the area of the rectangle:

Probability = A1 / A2 = 96 / 192 = 1/2

Correct option: D)