Question

Ширина прямоугольного участка земли на 80 м меньше его длины Найдите площадь участка если длина забора вокруг него 800 м

Answer 1

800-80*2=640 (м) 4 ширины
640:4=160 (м) ширина
160+80=240 (м) длина
240*160=38400 (м2)
Ответ: площадь равна 38400 м2


х - длина
х-80 - ширина
2(х+(х-80))=800
2(х+х-80)=800
4х-160=800
4х=800+160
х=960:4
х=240 (м) длина
240-80=160 (м) ширина
240*160=38400 (м2)
Ответ: 38400 м2

Answer 2

Calculating the Area of a Rectangular Land Plot

To find the area of the rectangular land plot, we can use the given information about the dimensions of the plot and the length of the fence around it.

Given: - Width of the land plot: 80 m less than its length - Length of the fence around the plot: 800 m

Solution

Let's denote: - Length of the land plot as L - Width of the land plot as W

We know that the width of the land plot is 80 m less than its length, so we can express the width in terms of the length as: W = L - 80

The length of the fence around the plot is the perimeter of the plot, which is given as 800 m. The perimeter of a rectangle is given by the formula: Perimeter = 2(L + W)

Substituting the expression for the width, we get: 800 = 2(L + (L - 80))

Solving for L: 800 = 2(2L - 80) 800 = 4L - 160 960 = 4L L = 240

Now that we have the length of the plot, we can find the width using the expression we derived earlier: W = 240 - 80 W = 160

Calculating the Area

The area of the rectangular land plot is given by the formula: Area = Length × Width

Substituting the values we found: Area = 240 × 160 Area = 38400 square meters

So, the area of the land plot is 38400 square meters.