# Find the sides of the rectangle if S = 250 and one of the sides is 2.5 times larger than the other.

July 21, 2021 | education

| 1. Vertices of the rectangle A, B, C, D. S – area. AD is 2.5 times more than AB.

2. According to the condition of the problem, AD is 2.5 times greater than AB. Therefore, AD = 2.5 AB.

3. S = AB x AD = 250 units².

4. Substitute in this expression 2.5AB instead of AD:

AB x 2.5AB = 250 units ².

AB² = 100 units of measurement².

AB = √100 = 10 units.

AD = 2.5 AB = 10 x 2.5 = 25 units.

5. Sides of the rectangle AB = CD = 10 units, BC = AD = 25 units.