
Периметр прямо угольник 20 см площадь 24 найти стораны


Ответы на вопрос

2a+2b=20
a*b = 24
Ответ: 4 и 6
Если все правильно, то ставьте "Спасибо" и "Лучший ответ"



Потому что 6•4 = 24
Ну а пириметр это сумма всех длин сторон



Perimeter and Area of a Rectangle
To find the perimeter and area of a rectangle, we need to know the length and width of the rectangle. However, in the given question, only the perimeter and area values are provided. We can still calculate the length and width using the given information.
Let's break down the problem and find a solution step by step.
Given: Perimeter of the rectangle = 20 cm Area of the rectangle = 24 cm²
Finding the Length and Width
To find the length and width, we can set up two equations based on the given information.
Let's assume the length of the rectangle is a and the width is b.
1. Equation for Perimeter: The perimeter of a rectangle is given by the formula: P = 2(a + b). Substituting the given perimeter value of 20 cm, we have: 20 = 2(a + b)
2. Equation for Area: The area of a rectangle is given by the formula: A = a * b. Substituting the given area value of 24 cm², we have: 24 = a * b
Now, we have two equations: 20 = 2(a + b) (Equation 1) 24 = a * b (Equation 2)
We can solve these equations simultaneously to find the values of a and b.
Solving the Equations
Let's solve the equations using the given information.
From Equation 1, we can rewrite it as: a + b = 10 (Dividing both sides by 2)
Now, we have two equations: a + b = 10 (Equation 3) a * b = 24 (Equation 2)
We can solve these equations to find the values of a and b.
Using substitution or elimination method, we can find that a = 6 and b = 4.
Calculating the Perimeter and Area
Now that we have the values of a and b, we can calculate the perimeter and area of the rectangle.
1. Perimeter: The perimeter of a rectangle is given by the formula: P = 2(a + b). Substituting the values of a and b, we have: P = 2(6 + 4) P = 2(10) P = 20 cm
2. Area: The area of a rectangle is given by the formula: A = a * b. Substituting the values of a and b, we have: A = 6 * 4 A = 24 cm²
Summary
In summary, for a rectangle with a perimeter of 20 cm and an area of 24 cm², the length of the rectangle is 6 cm and the width is 4 cm. The perimeter of the rectangle is 20 cm, and the area is 24 cm².
I hope this helps! Let me know if you have any further questions.


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