Question

Периметр прямоугольного участка 2500м. Ширина участка меньше его длины на 150м. Найдите площадь участка.

Answer 1

пусть х м - ширина участка

тогда (х+150) м - длина участка

по условию задачи составим уравнение: 2(х+х+150)=2500

2(2х+150)=2500

4х+300=2500

4х=2500-300

4х=2200

х=550 - ширина участка

550+150=700 м длина участка

S(площадь)=700*550=385000(м в квадрате)

ответ: 385000

Answer 2

Calculation of the Area of the Rectangular Plot

To find the area of the rectangular plot, we need to know the length and width of the plot.

Given information: - Perimeter of the rectangular plot: 2500 m - The width of the plot is 150 m less than its length.

Let's denote the length of the plot as L and the width as W.

From the given information, we can set up the following equations:

1. Perimeter equation: - The perimeter of a rectangle is given by the formula: Perimeter = 2(L + W) - Substituting the given perimeter value, we have: 2500 = 2(L + W)

2. Width equation: - The width of the plot is 150 m less than its length: W = L - 150

To find the values of L and W, we can solve these equations simultaneously.

Let's substitute the value of W from equation 2 into equation 1:

2500 = 2(L + (L - 150))

Simplifying the equation:

2500 = 2(2L - 150)

2500 = 4L - 300

4L = 2800

L = 700

Now, substitute the value of L back into equation 2 to find W:

W = 700 - 150

W = 550

Therefore, the length of the plot is 700 m and the width is 550 m.

To calculate the area of the rectangular plot, we use the formula: Area = Length × Width.

Substituting the values:

Area = 700 × 550

Area = 385,000 square meters

So, the area of the rectangular plot is 385,000 square meters.

Please note that the calculations are based on the information provided and may vary depending on the actual measurements of the plot.