Question

На листе бумаги изображены прямоугольник и квадрат с равными периметрами.Ширина прямоугольника 3см, и она на 1 дм меньше длины.Найди площадь квадрата"

Answer 1

Переводим величины 1дациметр это 10 сантиметров.
10+3=13-Это длинна прямоугольника
P=(13+3)*2=32
32:4=8-Сторона квадрата
S=8*8
S=64
Ответ:Площадь квадрата равна 64 сантиметра

Answer 2

3см ширины умножаем на 1дм и находим площадь

Answer 3

Problem Analysis

We are given a rectangle and a square with equal perimeters. The width of the rectangle is 3 cm and it is 1 dm (10 cm) less than the length. We need to find the area of the square.

Solution

To find the area of the square, we first need to find the length of the rectangle. We know that the width of the rectangle is 3 cm and it is 1 dm (10 cm) less than the length. Let's assume the length of the rectangle is L cm.

According to the given information, we can write the following equation: L - 10 = 3

Simplifying the equation, we find: L = 13

Now that we know the length of the rectangle, we can calculate its perimeter. The perimeter of a rectangle is given by the formula: P = 2(L + W), where L is the length and W is the width.

Substituting the values, we get: P = 2(13 + 3) P = 2(16) P = 32

Since the rectangle and the square have equal perimeters, the perimeter of the square is also 32 cm.

The perimeter of a square is given by the formula: P = 4s, where s is the length of one side of the square.

Substituting the value of the perimeter, we get: 32 = 4s

Simplifying the equation, we find: s = 8

Now that we know the length of one side of the square is 8 cm, we can calculate its area. The area of a square is given by the formula: A = s^2, where s is the length of one side of the square.

Substituting the value of the side length, we get: A = 8^2 A = 64

Therefore, the area of the square is 64 square centimeters.

Answer

The area of the square is 64 square centimeters.