Each side of the second triangle is 2-5 times shorter than the corresponding side of the first triangle.

Each side of the second triangle is 2-5 times shorter than the corresponding side of the first triangle. Find the area of the second triangle if the area of the first is 75m².

Let us denote the lengths of the sides of the first rectangle by x and y.

According to the condition of the problem, the area of the first triangle is 75 m2, therefore, we can write the following ratio:

x * y = 75.

It is also known that each of the sides of the second triangle is 2.5 times shorter than the corresponding side of the first triangle, therefore, the lengths of the sides of the second triangle are respectively x / 2.5 and y / 2.5, and the area S of the second triangle is:

S = x / 2.5 * y / 2.5 = x * y / (2.5 * 2.5) = = x * y / 6.25 = 75 / 6.25 = 12 m².

Answer: the area of the second triangle is 12 m².