Arectangular piece of stained glass has the dimensions shown in the diagram. what is the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid?

The correct option is D)

Step-by-step explanation:

Consider the provided figure.  

We need to find the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid.

For this first find the total area as shown:

The given figure is a rectangle.

The area of rectangle is

Where, l = 6 cm + 3 cm = 9 cm and b = 5cm

Therefore the area of the rectangle is;

Area of rectangle =

Now find the area of trapezoid.

The area of trapezoid is:

Where h is the height and a and b are the parallel sides.

Area of trapezoid =

Thus, the area of trapezoid is 30 cm.

Therefore, the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid is:

Hence, the correct option is D)

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step-by-step explanation:

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