Question

Сторона квадрата-16 дм.Найди длину прямоугольника с таким же периметром и шириной 14 дм.

Answer 1

Сторона квадрата 16 дм
периметр квадрата 64 дм
периметр прямоугольника 64 дм
ширина прямоугольника 14 дм
2 ширины прямоугольника 28 дм
2 длины прямоугольника 36 дм
длина прямоугольника 18 дм
ответ 18 дм

Answer 2

Calculation for the Length of the Rectangle

To find the length of a rectangle with the same perimeter as a square with a side length of 16 dm, we can use the formula for the perimeter of a rectangle:

Perimeter of a rectangle = 2 * (length + width)

In this case, the width of the rectangle is given as 14 dm.

Let's substitute the values into the formula:

Perimeter of the rectangle = 2 * (length + 14)

Since the perimeter of the square is equal to the perimeter of the rectangle, we can set up the equation:

2 * (16 + 16) = 2 * (length + 14)

Simplifying the equation:

32 = length + 14

To isolate the length, we subtract 14 from both sides of the equation:

length = 32 - 14

length = 18 dm

Therefore, the length of the rectangle with the same perimeter as the square is 18 dm.

Calculation for the Area of the Rectangle

To find the area of the rectangle, we can use the formula:

Area of a rectangle = length * width

Substituting the given values:

Area of the rectangle = 18 * 14

Calculating the area:

Area = 252 square dm

Therefore, the area of the rectangle is 252 square dm.