Question

Ширина прямоугольника в 4 раза короче длины,периметр равен 70 см. найти площадь прямоугольника. помогите прошу.(

Answer 1

Х см - ширина;
4х см - длина.

2(х + 4х) = 70
2 * 5х = 70
10х = 70
х = 70 : 10
х = 7 (см) - ширина.
7* 4 = 28 (см) - длина.

28 * 7 = 196 (см²) - площадь прямоугольника.
Ответ: 196 см².

Answer 2

Calculating the Area of a Rectangle

To find the area of a rectangle, we can use the formula: Area = length × width. Given that the width of the rectangle is 4 times shorter than the length and the perimeter is 70 cm, we can solve for the length and width using the following steps.

1. Expressing the Width in Terms of Length - Let's assume the length of the rectangle is represented by x. - Since the width is 4 times shorter than the length, the width can be expressed as 4x.

2. Using the Perimeter to Form an Equation - The perimeter of a rectangle is given by the formula: Perimeter = 2(length + width). - Substituting the expressions for length and width, we get: 70 = 2(x + 4x).

3. Solving for Length - Solving the equation 70 = 2(x + 4x) gives us the value of x.

4. Calculating the Area - Once we have the length and width, we can calculate the area using the formula: Area = length × width.

Let's proceed with solving the equation to find the length and then calculate the area.