Question

Длина прямоугольника 7дм. это на 32 см больше . чем ширина. найди периметр и площадь.

Answer 1

7 дм = 70 см.

1) $70-32=38$ (см) - ширина.

2) $2\cdot(70+38)=216$ (см) - периметр прямоугольника.

3) $70\cdot 38=2660$ (см²) - площадь прямоугольника.

ОТВЕТ: 216 см;  2660 см².

Answer 2

Problem Analysis

We are given that the length of a rectangle is 7 dm, which is 32 cm longer than the width. We need to find the perimeter and area of the rectangle.

Solution

Let's start by finding the width of the rectangle. We know that the length is 7 dm, which is equal to 70 cm (since 1 dm = 10 cm). We are also given that the length is 32 cm longer than the width. So, we can set up the following equation:

Length = Width + 32

Substituting the values, we get:

70 cm = Width + 32 cm

Simplifying the equation, we find:

Width = 70 cm - 32 cm = 38 cm

Now that we have the width, we can calculate the perimeter and area of the rectangle.

Perimeter

The perimeter of a rectangle is the sum of all its sides. In this case, the rectangle has two sides of length 70 cm and two sides of length 38 cm. So, the perimeter can be calculated as:

Perimeter = 2 * (Length + Width)

Substituting the values, we get:

Perimeter = 2 * (70 cm + 38 cm) = 2 * 108 cm = 216 cm

Therefore, the perimeter of the rectangle is 216 cm.

Area

The area of a rectangle is calculated by multiplying its length and width. In this case, the length is 70 cm and the width is 38 cm. So, the area can be calculated as:

Area = Length * Width

Substituting the values, we get:

Area = 70 cm * 38 cm = 2660 cm^2

Therefore, the area of the rectangle is 2660 cm^2.

Summary

Given that the length of the rectangle is 7 dm (70 cm) and is 32 cm longer than the width, we have calculated the perimeter and area of the rectangle. The perimeter is 216 cm and the area is 2660 cm^2.

Please let me know if I can help you with anything else.