Find the perimeter of a rectangle if its area is 40 cm squared, and adjacent sides o are worn as 2: 5.

1. A, B, C, D – the vertices of the rectangle. S – area. AB: AD = 2: 5. P – perimeter.
2.AD = 5АВ / 2.
3. To calculate the lengths of the sides of a rectangle, we use the formula for calculating its area:
S = AD x AB = 40 centimeters².
4. Substitute 5АВ / 2 instead of AD into this expression:
5AB x AB / 2 = 40 centimeters².
5 / 2AB² = 40 centimeters².
AB² = 80: 5 = 16 centimeters².
AB = √16 = 4 centimeters.
AD = 5 x 4: 2 = 10 centimeters.
5.R = 2 x 10 + 2 x 4 = 28 centimeters.
Answer: P is equal to 28 centimeters.