Question

участок прямоугольной  формы примыкает  к  дому,  длиной  каторого  10 м.С  трёх сторон  участок  обнесён   изгородью длинои 130 м. Чему  равна  площядь  этого  участка?

Answer 1

Длина участка = 10 м
ширина участка = (130 - 10)/2 = 60 м
S(участка) = 60 * 10 = 600 м2

Answer 2

#### Calculation of the Area of the Plot To calculate the area of the rectangular plot, we need to know the dimensions of the plot. From the information provided, we know that the plot is rectangular in shape and is adjacent to a house with a length of 10 meters. The plot is enclosed by a fence on three sides, with a total length of 130 meters. Let's assume that the width of the plot is represented by 'x' meters. Since the plot is rectangular, the length of the plot will also be 'x' meters. To calculate the area of a rectangle, we use the formula: **Area = Length × Width** In this case, the length of the plot is 10 meters and the width is 'x' meters. Therefore, the area of the plot can be calculated as: **Area = 10 meters × x meters** Now, let's solve for 'x' using the information that the total length of the fence surrounding the plot is 130 meters. The fence surrounds three sides of the plot, which means the total length of the three sides is equal to the perimeter of the plot. The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the lengths of three sides are known: 10 meters (adjacent to the house) and 130 meters (enclosed by the fence). Let's denote the fourth side as 'y' meters. The perimeter of the plot can be calculated as: **Perimeter = 10 meters + 130 meters + y meters** Since the plot is rectangular, opposite sides are equal in length. Therefore, the fourth side 'y' is also 'x' meters. Now, we can set up an equation to solve for 'x': **10 meters + 130 meters + x meters + x meters = Perimeter** Simplifying the equation: **10 meters + 130 meters + 2x meters = Perimeter** Substituting the given value of the perimeter (130 meters): **10 meters + 130 meters + 2x meters = 130 meters** Simplifying further: **140 meters + 2x meters = 130 meters** Subtracting 140 meters from both sides: **2x meters = -10 meters** Dividing both sides by 2: **x meters = -5 meters** Since the width of the plot cannot be negative, we can conclude that there is an error in the given information or calculation. Please double-check the values provided. If you have any further questions, feel free to ask!