The area of the rectangle is 675 cm2. Calculate the width of a rectangle if one of them is 26 cm smaller than the other.

To solve this problem, let’s write an equation in which we write one side as x.

Since the second side is 26 cm larger than the first, it will be equal to:

x + 26.

The area is the product of two sides.

In this case, we get the equation:

x * (x + 26) = 675.

x ^ 2 + 26 * x = 675.

We transfer all values to one side and get a quadratic equation.

x ^ 2 + 26 * x – 675 = 0.

D ^ 2 = 26 ^ 2 – 4 * 1 * (-675) = 676 + 2700 = 3376.

D = 58.1.

x = (-26 + 58.1) / 2 = 16.05 cm.

x + 26 = 16.05 + 26 = 42.05 cm.

Answer: 16.05 cm.