The sides of the rectangle are related to the same as the perimeter of the square

The sides of the rectangle are related to the same as the perimeter of the square to the side of the square. Find the sides of a rectangle if you know that its perimeter is 70 cm?

To solve this problem, remember that the perimeter of a rectangle is the sum of the lengths of all its sides. Since in a rectangle the opposite sides are equal, then P = 2 * (a + b), where a is the length, b is the width. In a square, all sides are equal, therefore the perimeter is P = 4a, where a is the side of the square. Perimeter to side ratio:
4a / a = 4/1.
The length of the rectangle is relative to the width as 4: 1. Let one part be -x, then the length is 4x, and the width is -x. Knowing that the perimeter is 70 cm, we create an equation.
2 * (4x + x) = 70;
4x + x = 70/2;
5x = 35;
x = 35/5;
x = 7 cm.
The length of the rectangle is 4 * 7 = 28 cm, and the width is 7 cm.
Answer: 28 cm, 7 cm.



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