Question

11. Периметр прямоугольника равен 26 см, а его площадь 42 см2. Определите, чему равна длина и ширина прямоугольника? Скажите ответ пожалуйста​

Answer 1

Ответ:

7 см и 6 см

Пошаговое объяснение:

S = ab = 42 см2

P = 2 (a+b) = 26 см

( a+b) = 13  см

a - Длина = 7 см

b - ширина = 6 см.

Answer 2

Ответ:

длина=7, ширина=6

Пошаговое объяснение:

1)26:2=13(см)--ширина+длина.

2)Подбираем такие 2 числа, чтобы их произведение было равно 42. Это числа 6 и 7.

Answer 3

Perimeter and Area of a Rectangle

To find the length and width of a rectangle when given its perimeter and area, we can use the following formulas:

1. Perimeter of a rectangle: P = 2(l + w), where P is the perimeter, l is the length, and w is the width. 2. Area of a rectangle: A = l * w, where A is the area, l is the length, and w is the width.

In this case, we are given that the perimeter of the rectangle is 26 cm and the area is 42 cm². We can use these values to determine the length and width of the rectangle.

Let's solve for the length and width step by step:

1. From the given information, we have: - Perimeter (P) = 26 cm - Area (A) = 42 cm²

2. Using the formula for the perimeter of a rectangle, we have: - P = 2(l + w)

3. Substituting the given perimeter value, we get: - 26 = 2(l + w)

4. Simplifying the equation, we have: - 13 = l + w

5. Now, let's use the formula for the area of a rectangle: - A = l * w

6. Substituting the given area value, we get: - 42 = l * w

7. We have two equations: - 13 = l + w (Equation 1) - 42 = l * w (Equation 2)

To solve these equations, we can use various methods such as substitution or elimination. Let's use the substitution method:

From Equation 1, we can express l in terms of w: - l = 13 - w

Substituting this value of l into Equation 2, we get: - 42 = (13 - w) * w

Expanding the equation: - 42 = 13w - w²

Rearranging the equation: - w² - 13w + 42 = 0

Now, we can solve this quadratic equation to find the values of w (width) and l (length).