A rectangular plot of land is surrounded by a fence, the length of which is 64 m.

A rectangular plot of land is surrounded by a fence, the length of which is 64 m. Find the area of the plot if its width is 2.2 times less than the length.

1) Let x (m) be the width of the section, then 2.2x (m) is its length.

2) The length of the fence is the perimeter of the rectangular section, which is equal to:

2x + 2 * 2.2x = 2x + 4.4x = 6.4x (m).

3) By condition, the length of the fence is 64 m.Therefore, we write down the equality:

6.4x = 64.

4) Solve the equation and find that x = 10. This means that the width of the section is 10 m.

5) Find its length:

10 * 2.2 = 22 (m).

6) Knowing the length and width of the site, we calculate its area as their product:

22 * 10 = 220 (m ^ 2).

Answer: the area of the site is 220 m ^ 2.