The perimeter of the rectangle is 25 cm, the area is 42 cm, find the sides of the rectangle

Let one of the sides of the rectangle be x cm, and the other y cm.Then its perimeter is calculated as 2 * (x + y) cm, which is equal to 25 cm by the problem statement. We obtain the first equation:
2 * (x + y) = 25.
The area of the rectangle is calculated by the formula x * y sq. cm, which according to the condition of the problem is equal to 42 sq cm.We obtain the second equation:
x * y = 42.
Let’s write the system:
2 * (x + y) = 25 and x * y = 42.
From the first equation y = 12.5 – x. Substituting the expression into the second equation, we get:
x * (12.5 – x) = 42;
x ^ 2 – 12.5x + 42.
D <0 – no roots.
Answer: There is no such rectangle.