Question

Ширина прямоугольника равна 8см, а его периметр -40см. Какова длина прямоугольника? Решить задачу двумя способами.

Answer 1

8+8=16
40-16=24
24:2=12
ответ 12 см длина прямоугольника

Answer 2

Problem Statement

Ширина прямоугольника равна 8 см, а его периметр равен 40 см. Какова длина прямоугольника? Решить задачу двумя способами.

Solution 1: Using the Perimeter Formula

To find the length of the rectangle, we can use the formula for the perimeter of a rectangle, which is given by:

Perimeter = 2 * (Length + Width)

In this case, we are given that the width of the rectangle is 8 cm and the perimeter is 40 cm. Let's substitute these values into the formula and solve for the length:

40 = 2 * (Length + 8)

Simplifying the equation:

40 = 2 * Length + 16

Subtracting 16 from both sides:

40 - 16 = 2 * Length

24 = 2 * Length

Dividing both sides by 2:

Length = 12

Therefore, the length of the rectangle is 12 cm.

Solution 2: Using the Area Formula

Another way to solve this problem is by using the formula for the area of a rectangle, which is given by:

Area = Length * Width

In this case, we are given that the width of the rectangle is 8 cm and the perimeter is 40 cm. We can use the formula for the perimeter to find the length, and then use the length and width to calculate the area.

From Solution 1, we found that the length of the rectangle is 12 cm. Now, let's substitute the length and width into the area formula:

Area = 12 * 8

Calculating the area:

Area = 96 cm^2

Therefore, the area of the rectangle is 96 cm^2.

To summarize: - Using the perimeter formula, we found that the length of the rectangle is 12 cm. - Using the area formula, we found that the area of the rectangle is 96 cm^2.