A diagonal is drawn in the rectangle. the area of one of the resulting triangles is 25 cm2. Find the area of the rectangle.

If you draw a diagonal in a rectangle, then it will divide this rectangle into two equal right-angled triangles.
To find the area of a rectangle, add up the areas of the resulting triangles.
Let’s see what happens.
Given:
S1 = 25m ^ 2.
Find – S.
Decision.
S = S1 + S2. (one)
S1 = S2. (2)
(2) —–> (1)
S = S1 + S1 = 2S1. (3)
Substitute numerical values into formula (3) and find the area of the rectangle:
S = 2 * 25 = 50 (m ^ 2).
Answer: S = 50 m ^ 2.