The perimeter of the rectangle is 26 dm, and one of the sides is 5 dm 7 cm. Calculate the area of this rectangle.

To solve this problem, recall the formula for the area of a rectangle. The area of the rectangle is equal to the product of the length and the width. S = a * b, where a is the length and b is the width. 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. Let’s translate 5 dm 7 cm into decimeters.
5 dm 7 cm = 5.7 dm.
Let’s calculate the length of the second side, knowing that the perimeter is 26 inches.
26 = 2 * (5.7 + x);
5.7 + x = 26/2;
5.7 + x = 13;
x = 13-5.7 = 7.3 dm.
Let’s calculate the area of the rectangle.
S = 7.3 * 5.7 = 41.61 dm ^ 2.
Answer: 41.61 dm ^ 2.