The sides of the first rectangle are 4 cm and 6 cm, and the sides of the second are 8 cm and 15 cm.

The sides of the first rectangle are 4 cm and 6 cm, and the sides of the second are 8 cm and 15 cm. How many times is the area of the second rectangle larger than the area of the first rectangle?

In a rectangle, opposite sides are equal to each other.
The area of a rectangle is defined as the product of its length and width.
1. Find the area of the first rectangle:
4 * 6 = 24 cm².
2. Find the area of the second rectangle:
8 * 15 = 90 cm².
Since the obtained values have the same area units, we can divide the larger value by the smaller one and find out how many times the area of the second rectangle is larger than the area of the first:
90/24 = 3.75.
Answer: the area of the second rectangle is 3.75 times the area of the first.