Question

Участок земли прямоугольной формы огорожен изгородью длиной в 200 м причем длина его на 20 м больше ширины участок разделили на две части из которых 1 на 200 м2 больше другой Найди площадь каждой части

Answer 1

17900м2 и,а 2 18100м2

Answer 2

Problem Analysis

We are given a rectangular plot of land that is fenced with a hedge. The length of the hedge is 200 meters, and the length of the plot is 20 meters longer than its width. The plot is divided into two parts, with one part being 200 square meters larger than the other. We need to find the area of each part.

Solution

Let's assume the width of the plot is x meters.

According to the given information, the length of the plot is 20 meters longer than its width. So, the length of the plot is x + 20 meters.

The area of a rectangle is given by the formula: Area = Length × Width.

We can calculate the area of the entire plot using the length and width:

Area of the entire plot = (x + 20) × x

We are also given that one part of the plot is 200 square meters larger than the other part. Let's assume the area of the smaller part is A square meters. So, the area of the larger part is A + 200 square meters.

Now, we can set up an equation using the areas of the two parts:

(x + 20) × x = A + (A + 200)

Simplifying the equation:

x^2 + 20x = 2A + 200

Now, we can solve this equation to find the value of x and then calculate the areas of the two parts.

Calculation

Let's solve the equation to find the value of x:

x^2 + 20x - 2A - 200 = 0

We don't have the value of A, so we cannot solve the equation directly. We need more information to find the areas of the two parts.

Unfortunately, the given information is incomplete and does not provide enough details to calculate the areas of the two parts. We need either the value of A or additional information to proceed with the calculation.

If you have any additional information or if there is anything else I can help you with, please let me know!