A square plot with an area of 400 m was divided into 4 plots, the area of which is 1: 2: 3: 4. find the length of the fence

| June 17, 2021 | education

A square plot with an area of 400 m was divided into 4 plots, the area of which is 1: 2: 3: 4. find the length of the fence that needs to be fenced off if the common border is fenced off once.

A square section has a length and width equal to √400 = 20 m.Now we calculate the area of each of the four sections:

1) The total area is divided into parts: 1 + 2 + 3 + 4 = 10 parts. Each piece is equal to 400 m ^ 2/10 pieces = 40 m ^ 2.

2) The areas of the plots are equal: 1. – (1 * 40 m ^ 2) = 40 m ^ 2); 2. – 2 * 40 m ^ 2 = 80 m ^ 2; 3. – 3 * 40 m ^ 2 = 120 m ^ 2; 4.- 4 * 40 m ^ 2 = 160 m ^ 2.

3) The total length of the section is 20 m * 4 = 80 m.

4) Between the sections, you need to fence off with a fence 20 m long: 20 m * 3 = 60 m.

5) The entire length of the fence is 80 m + 60 m = 140 m.

The answer is given on the condition that the plots were divided along the length of 20 m between the plots.



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