1звестно, что стороны прямоугольника находятся в отношении 2 21 , его площадь равна 168 . Чему равен териметр прямоугольника?

To solve this problem, we need to find the lengths of the sides of the rectangle and then calculate its perimeter. Given: - The sides of the rectangle are in the ratio 2:1. - The area of the rectangle is 168 square units. Let's denote the length of the longer side as 2x and the shorter side as x, according to the given ratio. The area of a rectangle is given by the formula: Area = Length × Width Using the given information, we can set up the following equation: 2x * x = 168 Solving for x: 2x^2 = 168 x^2 = 168 / 2 x^2 = 84 x = √84 x = 2√21 Now we can find the lengths of the sides: Length (longer side) = 2x = 2 * 2√21 = 4√21 Width (shorter side) = x = 2√21 Next, we calculate the perimeter of the rectangle. The perimeter of a rectangle is given by the formula: Perimeter = 2 × (Length + Width) Substituting the values we found: Perimeter = 2 × (4√21 + 2√21) Perimeter = 2 × 6√21 Perimeter = 12√21 Therefore, the perimeter of the rectangle is 12√21 units.