Question

Периметр прямокутника 28см, а його площа 40 см², знайдіть сторони прямокутника

Answer 1

Система сложим: 28=2(a+b) и 40=ab....... 14=a+b и 40=ab выразим через а..... а=14-b; подставляем 40=(14-b)b=14b-b² отсюда : b²-14b+40=0 ищем b=10 тогда а=14-10=4см... Ответ: 4см и 10см

Answer 2

Calculating the Sides of a Rectangle

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

1. Perimeter of a Rectangle (P): - The perimeter of a rectangle is given by the formula: P = 2(l + w), where l is the length and w is the width of the rectangle.

2. Area of a Rectangle (A): - The area of a rectangle is given by the formula: A = l * w, where l is the length and w is the width of the rectangle.

Solution

Given: - Perimeter (P) = 28 cm - Area (A) = 40 cm²

We can use the following system of equations to solve for the sides of the rectangle:

1. From the perimeter: - P = 2(l + w)

2. From the area: - A = l * w

We can solve these equations simultaneously to find the values of l and w.

Calculations

Using the given information, we can solve for the sides of the rectangle:

1. From the perimeter: - 28 = 2(l + w) 2. From the area: - 40 = l * w

Solving for the Sides

We can solve the system of equations to find the sides of the rectangle.