A rectangular piece of land with an area of 1600 m2 is surrounded by a 200m long hedge. find the sides of this site.

Let’s say that the length of the section is a meters and the width is in meters.

Since the area is equal to the product of the sides, we get:

a * b = 1600.

Since the perimeter is twice the sum of the sides of the rectangle, the sum of the length and width will be:

200/2 = 10 m.

We obtain the second equation of the system

a + b = 100.

Express the length value from equation 2 and substitute it into the first.

a = 100 – c.

in * (100 – in) = 1600.

100 * in – in ^ 2 = 1600.

в ^ 2 – 100 * в + 1600 = 0.

By Vieta’s theorem, we get:

h = 20 m.

a = 80 m.

80 * 20 = 1600.

80 + 20 = 100.

Answer: 80 and 20 meters.