Question

Ширина прямоугольника 4 см что в 3 раза меньше длины.найдите периметр и выразите ответ в дециметрах и сантиметрах

Answer 1

1)4×3=12(см)
2)4+12×2=32см=3дм2см-P

Answer 2

Problem Analysis

We are given that the width of a rectangle is 4 cm, and it is 3 times smaller than the length. We need to find the perimeter of the rectangle and express the answer in decimeters and centimeters.

Solution

To find the perimeter of a rectangle, we need to know the lengths of all four sides. Since we are given the width and its relationship to the length, we can determine the length and calculate the perimeter.

Let's assume the length of the rectangle is L cm. According to the problem statement, the width is 3 times smaller than the length, so the width is L/3 cm.

The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

Substituting the values, we have P = 2(L + L/3).

To express the answer in decimeters and centimeters, we need to convert the perimeter from centimeters to decimeters.

Calculation

Let's calculate the perimeter using the given information:

The width of the rectangle is 4 cm, which is 3 times smaller than the length. Therefore, the length is 4 cm * 3 = 12 cm.

Substituting the values into the formula, we have P = 2(12 cm + 12 cm/3).

Simplifying the expression, we have P = 2(12 cm + 4 cm).

Calculating further, we have P = 2(16 cm) = 32 cm.

To express the answer in decimeters, we divide the perimeter by 10: 32 cm / 10 = 3.2 dm.

Therefore, the perimeter of the rectangle is 32 cm or 3.2 dm.

Answer

The perimeter of the rectangle is 32 centimeters or 3.2 decimeters.