Find the sides of a rectangle if its area is 250 centimeters squared, one side is two and a half times the other.

1. Vertices of the rectangle – A, B, C, D. S = 250 cm² – the area of the rectangle. BP is 2.5 times higher than AB.
2. According to the condition of the problem, blood pressure is 2.5 times higher than AB. Therefore, AD = 2.5AV.
3. S = AB x AD = 250 cm². We replace the AD with 2.5AВ:
AB x 2.5AB = 250 cm².
2.5AB² = 250 cm².
AB² = 250: 2.5 = 100 cm².
AB = √100 = 10 cm.
AD = 2.5AB = 2.5 x 10 = 25 cm.
4. Sides of the rectangle opposite each other (opposite) are equal:
AB = СD = 10 cm, AD = BC = 25 cm.
Answer: AB = СD = 10 cm, AD = BC = 25 cm.