Question

)Турист проехал в 7 раз большее расстояние, чем прошел пешком. Весь путь туриста составил 24 км. Какое расстояние турист проехал? а) Длина прямоугольника на 6 см больше ширины. Найдите площадь прямоугольника, если его периметр равен 48 см.

Answer 1

1 решаешь уравнением
Х+7х=24
8х=24
Х=3
7*3=21 расстояние которое он проехал
2.тоже решаешь уравнение как в 1

Answer 2

Problem 1: Distance Traveled by a Tourist

To find the distance the tourist traveled, we can set up the following equation:

Distance traveled by car + Distance traveled on foot = Total distance

Let's denote the distance traveled by car as 'x' and the distance traveled on foot as 'y'. We are given that the total distance traveled by the tourist is 24 km, and that the distance traveled by car is 7 times greater than the distance traveled on foot.

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

x + y = 24 (equation 1) x = 7y (equation 2)

To solve this system of equations, we can substitute equation 2 into equation 1:

7y + y = 24 8y = 24 y = 3

Now, we can substitute the value of y back into equation 2 to find the value of x:

x = 7(3) x = 21

Therefore, the tourist traveled 21 km by car and 3 km on foot.

Problem 2: Area of a Rectangle

To find the area of a rectangle, we need to know the length and width of the rectangle. We are given that the length of the rectangle is 6 cm greater than the width, and the perimeter of the rectangle is 48 cm.

Let's denote the width of the rectangle as 'w'. The length of the rectangle is then 'w + 6'.

The perimeter of a rectangle is given by the formula: Perimeter = 2(length + width)

Using this formula, we can set up the following equation:

48 = 2(w + (w + 6))

Simplifying the equation:

48 = 2(2w + 6) 48 = 4w + 12 4w = 48 - 12 4w = 36 w = 9

Now, we can substitute the value of w back into the expression for the length of the rectangle:

Length = w + 6 = 9 + 6 = 15

Therefore, the width of the rectangle is 9 cm and the length is 15 cm.

To find the area of the rectangle, we can use the formula: Area = length * width

Area = 15 * 9 = 135 cm²

Therefore, the area of the rectangle is 135 cm².