The perimeter of the rectangle is 28, and its area is 48, find the sides of the rectangle.

To solve the problem, you first need to paint the perimeter and area of the rectangle as an expression.
According to the formula, the perimeter is.
P = 2 * [a + b] = 28 cm.
According to the formula, the area is equal to.
S = a * b = 40 cm2
After that, we compose a system of equations.

2 * [a + b] = 28.
a * b = 40.

We find one of the sides.
[a + b] = 28/2.
a + b = 14.
a = 14-b.

Substitute the found value into the area formula.
14 * b-b ^ 2-40 = 0.

We get the following values.
14 * b-b ^ 2 = 40.
b = 4 cm.

We substitute the resulting number in the formula and find the other side.
a = 14-b.
a = 14-4 = 10 cm.

Answer. The sides are 4 cm and 10 cm.