Question

Длины сторон прямоугольника относятся как 3 к 6 ,а периметр равен 54 см.найдите площадь этого прямоугольника?

Answer 1

54 : 2 = 27 ( cм ) сумма двух сторон 
27 : ( 3 + 6 ) = 27 : 9 = 3 ( см ) в одном отрезке
3 х 3 = 9 ( см ) ширина 
3 х 6 = 18 ( см ) длина 
9 х 18 = 162 ( кв см ) площадь

Answer 2

54÷3=18 -первая сторона
54÷6=9-вторая сторона
площадь:18×9=162

Answer 3

Finding the Area of a Rectangle

To find the area of a rectangle when the lengths of its sides are in the ratio 3:6 and the perimeter is 54 cm, we can use the following steps:

1. Determine the Lengths of the Sides: - Let's assume the lengths of the sides are 3x and 6x, where x is a common factor.

2. Use the Perimeter to Find the Value of x: - The perimeter of a rectangle is given by the formula: P = 2 * (length + width). - In this case, the perimeter is 54 cm.

3. Calculate the Area Using the Lengths of the Sides: - Once we have the lengths of the sides, we can use the formula for the area of a rectangle: Area = length * width.

Calculation Steps:

1. Let's assume the lengths of the sides are 3x and 6x. 2. Using the given perimeter, we can find the value of x. 3. Once we have the value of x, we can calculate the lengths of the sides. 4. Finally, we can find the area of the rectangle using the calculated side lengths.

Calculation:

1. Let's assume the lengths of the sides are 3x and 6x. 2. The perimeter of the rectangle is given by the formula: P = 2 * (length + width). - Given that the perimeter is 54 cm, we can set up the equation: 54 = 2 * (3x + 6x). - Solving for x: - 54 = 2 * (9x) - 54 = 18x - x = 54 / 18 - x = 3

3. Now that we have the value of x, we can calculate the lengths of the sides: - Length = 3x = 3 * 3 = 9 cm - Width = 6x = 6 * 3 = 18 cm

4. Finally, we can find the area of the rectangle using the calculated side lengths: - Area = Length * Width - Area = 9 cm * 18 cm - Area = 162 square centimeters

So, the area of the given rectangle is 162 square centimeters.