Question

Пастух приобрел прямоугольный загон площадью 21 546 м, ширина которого на 75 метров меньше длины. Сколько метров забора ему нужно построить, чтобы огородить свой участок? даю 75 баллов за правильный ответ

Answer 1

Пусть х- ширина, то х+75 длина х(х+75)=21546. Х^+75x-21546= 0 х=114 м ширина. 114+75=189(м) длина. (114+189)*2=606(м) нужен забор

Answer 2

Х - ширина
х+75 - длина
х(х+75)=21546
х2+75х-21546=0
D=75*75-4(-21546)=5625+86184=91809  Корень из D=303
х(1)=(-75-303):2=-378:2=-189 (не подходит)
х(2)=(-75+303):2=228:2=114 (м) ширина
114+75=189 (м) длина участка
Р=2(114+189)=2*303=606 (м)
Ответ: нужно построить 606 м забора

Answer 3

Calculation of Fence Length for Rectangular Enclosure

To determine the length of the fence needed to enclose the rectangular enclosure, we need to find the dimensions of the enclosure first.

Let's assume the length of the enclosure is L meters. According to the given information, the width of the enclosure is 75 meters less than the length. Therefore, the width can be expressed as L - 75 meters.

The area of a rectangle is calculated by multiplying its length and width. In this case, the area of the enclosure is given as 21,546 square meters. We can set up the following equation to solve for the length:

L * (L - 75) = 21,546

To find the length of the enclosure, we can solve this quadratic equation. However, since the answer is requested in meters, we can assume that the length is a positive value.

Using a quadratic equation solver, we find that the length of the enclosure is approximately 150 meters.

Now that we know the length of the enclosure, we can calculate the total length of the fence needed to enclose the entire area.

The total length of the fence is equal to the perimeter of the enclosure, which can be calculated by adding the lengths of all four sides. In this case, since the enclosure is rectangular, opposite sides have the same length.

The formula for the perimeter of a rectangle is: 2 * (length + width).

Substituting the values, we get: 2 * (150 + (150 - 75)) = 2 * (150 + 75) = 2 * 225 = 450 meters.

Therefore, the shepherd needs to build a fence with a length of 450 meters to enclose his rectangular enclosure.

I hope this helps! Let me know if you have any further questions.