The perimeter of a rectangular garden is 1708 m. Its length is calculated if the width of the garden

The perimeter of a rectangular garden is 1708 m. Its length is calculated if the width of the garden is less than the length by 58 m.

The solution of the problem:

1. We take the length of the garden as x.

2. The width of the garden, according to the condition of the problem, is less than the length by 58 m, that is, equal to:

x – 58 (m).

3. Since the garden has the shape of a rectangle, then its opposite sides are equal

Then the value of the perimeter can be written as follows:

x + x + (x – 58) + (x – 58).

4. We form an equation and find the length of the garden:

x + x + (x – 58) + (x – 58) = 1708;

x + x + x – 58 + x – 58 = 1708;

4x – 116 = 1708;

4x = 1824;

x = 456 (m).

Answer: the length of the garden is 456 meters.