Find the sides of a rectangle with an area of 30 cm2 and a perimeter of 34 cm.

The perimeter is twice the sum of the sides of the rectangle.

In this case, in order to determine the sum of the sides of the figure, you need to divide the perimeter by 2.

We get:

34/2 = 17 cm.

Let’s write the sides of the rectangle as a and b.

In this case, the value of a will be equal to:

a = 17 – c.

The area is equal to:

S = a * b.

Substitute the value a from the first equation.

30 = (17 – b) * b.

b ^ 2 – 17 * b + 30 = 0.

D ^ 2 = 17 ^ 2 – 4 * 1 * 30 = 289 – 120 = 169.

D = 13.

h = (17 + 13) / 2 = 15 cm (first side).

a = 17 – 15 = 2 cm (second side).