Question

Длина прямоугольника 6 сантиметров Чему равна его площадь если периметр составляет 18 сантиметров

Answer 1

A-длина
b-ширина
P-периметр
S-площадь
P=a+b+a+b
S=a*b
2a=(P-b-b)
2a=6
a=6:2=3
S=3*6=18
S=18

Answer 2

Calculating the Area of a Rectangle

To calculate the area of a rectangle when the perimeter is 18 centimeters and the length is 6 centimeters, we can use the following steps:

1. Calculate the Width of the Rectangle: - The perimeter of a rectangle is given by the formula: \( P = 2 \times (a + b) \), where \( a \) and \( b \) are the length and width of the rectangle. - Given that the perimeter is 18 centimeters and the length is 6 centimeters, we can calculate the width using the formula: \( P = 2 \times (6 + b) \).

2. Calculate the Area of the Rectangle: - Once we have the width, we can calculate the area of the rectangle using the formula: \( S = a \times b \), where \( a \) is the length and \( b \) is the width.

Calculation Steps

1. Calculate the Width of the Rectangle: - Using the formula for the perimeter: \( 18 = 2 \times (6 + b) \) - Solving for \( b \), we get: \( b = 3 \)

2. Calculate the Area of the Rectangle: - Using the formula for the area: \( S = 6 \times 3 \) - Therefore, the area of the rectangle is: 48 square centimeters.

The area of the rectangle is 48 square centimeters, given a length of 6 centimeters and a perimeter of 18 centimeters.

Conclusion

The area of the rectangle with a length of 6 centimeters and a perimeter of 18 centimeters is 48 square centimeters.