The area of the rectangle is 1 cm2. What is the area of the triangle that the straight line passing through

The area of the rectangle is 1 cm2. What is the area of the triangle that the straight line passing through the midpoints of the two sides cut off from the rectangle?

Let’s denote the sides of this rectangle by the letters a and b.
A straight line drawn through the midpoints of the sides of the rectangle cuts off a right-angled triangle with legs a / 2 and b / 2 from it.
Since the triangle is rectangular, its area will be equal to:
s = 1/2 * a / 2 * b / 2 = a * b / 8.
By the condition of the problem, the area of the rectangle is 1 cm², therefore
S = a * b = 1, so the area of the triangle is:
s = a * b / 8 = 1/8 cm².
Answer: s = 1/8 cm².