Question

У поля прямоугольной формы одна из сторон равна 30 м.Половина поля засeяна овсом,а другая половина-пшeницeй и рожью . Пшeница занимаeт 600 кв.м,а рожь - одну шeстую часть всeго поля. Какой длины должeн быть забор,огораживающий всe полe? (Пожалуйста помогите рeшить нe уравнeниeм)

Answer 1

1)1/2 - 1/6=1/3(поля)-занимает пшеница
2)600 : 1/3=1800 (кв.м)-площадь поля
3)1800:30=60(м)-другая сторона поля
4)(60+30)*2=180(м)
Ответ:180 м

Answer 2

Problem Analysis

We are given a rectangular field with one side measuring 30 meters. Half of the field is planted with oats, while the other half is planted with wheat and rye. The wheat occupies an area of 600 square meters, and the rye occupies one-sixth of the total field. We need to determine the length of the fence that surrounds the entire field.

Solution

To find the length of the fence, we need to calculate the perimeter of the rectangular field. Since we know one side is 30 meters, we can find the length of the other side using the given information.

Let's break down the problem step by step:

1. Calculate the area of the field: - The wheat occupies an area of 600 square meters. - The rye occupies one-sixth of the total field. - Therefore, the total area of the field is 600 / (1/6) = 3600 square meters.

2. Calculate the length of the other side of the field: - The area of a rectangle is given by the formula: area = length * width. - We know the width is 30 meters, so we can rearrange the formula to find the length: length = area / width. - Substituting the values, we get: length = 3600 / 30 = 120 meters.

3. Calculate the perimeter of the field: - The perimeter of a rectangle is given by the formula: perimeter = 2 * (length + width). - Substituting the values, we get: perimeter = 2 * (120 + 30) = 300 meters.

Therefore, the length of the fence that surrounds the entire field should be 300 meters.