The width of the rectangular plot of land is 75% of its length and its area is 4800m2.

The width of the rectangular plot of land is 75% of its length and its area is 4800m2. Find the length of the fence surrounding this plot?

Let us denote by a the length of this land plot, which has the shape of a rectangular quadrangle, expressed in meters.

In the wording of the condition for this task, it is reported that the width of this section is seventy-five percent of its length, therefore, its width is (75/100) * a = 0.75a meters.

Since the area of ​​this site is 4800 m ^ 2, we can draw up the following equation:

a * 0.75 * a = 4800,

solving which, we get:

a ^ 2 = 4800 / 0.75;

a ^ 2 = 6400;

a ^ 2 = 80 ^ 2;

a = 80 m.

We find the length of the fence along the perimeter of this site:

2 * (80 + 0.75 * 80) = 2 * (80 + 60) = 2 * 140 = 280 m.

Answer: the length of the fence is 280 m.