Question

Як знайти сторони прямокутника якщо ми знаємо периметр і площу

Answer 1

P=2(a+b)

Объяснение:

тримай формулу

Answer 2

Finding the Sides of a Rectangle Given the Perimeter and Area

To find the sides of a rectangle when we know the 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 of the rectangle. 2. Area of a rectangle: A = l * w, where A is the area, l is the length, and w is the width of the rectangle.

To solve for the sides of the rectangle, we need to set up a system of equations using the given perimeter and area. Let's go through an example to illustrate the process.

Example: Suppose we have a rectangle with a perimeter of 20 units and an area of 24 square units. We want to find the length and width of the rectangle.

Solution: Let's assume the length of the rectangle is l and the width is w. We can set up the following equations:

1. Perimeter equation: 2(l + w) = 20 2. Area equation: l * w = 24

We can solve this system of equations to find the values of l and w.

From the perimeter equation, we can simplify it to: l + w = 10

From the area equation, we can solve it for one variable: l = 24 / w

Now we can substitute the value of l in terms of w into the perimeter equation: (24 / w) + w = 10

Simplifying further, we get: 24 + w^2 = 10w

Rearranging the equation: w^2 - 10w + 24 = 0

We can solve this quadratic equation to find the possible values of w. Once we have the value of w, we can substitute it back into the equation l = 24 / w to find the corresponding value of l.

Please note that the values of l and w will depend on the specific values of the perimeter and area given in the problem.

I hope this explanation helps! Let me know if you have any further questions.