Question

Ширина прямоугольника составляет одну треть часть его длины . Периметр этого прямоугольника 16 см. Найдите длины сторон этого прямоугольника

Answer 1

Ш=16/3=5,1 (Р.с. ш это ширина)

Answer 2

Problem Analysis

We are given that the width of a rectangle is one-third of its length, and the perimeter of the rectangle is 16 cm. We need to find the lengths of the sides of the rectangle.

Solution

Let's assume the length of the rectangle is L cm. According to the problem, the width of the rectangle is one-third of its length, so the width is L/3 cm.

The perimeter of a rectangle is given by the formula: P = 2(L + W), where P is the perimeter, L is the length, and W is the width.

Substituting the values, we have: 16 = 2(L + L/3).

Simplifying the equation, we get: 16 = 2(4L/3).

To solve for L, we can multiply both sides of the equation by 3/2 to cancel out the coefficient of L.

Simplifying further, we have: 24 = 4L.

Dividing both sides of the equation by 4, we get: L = 6.

Therefore, the length of the rectangle is 6 cm.

The width of the rectangle is one-third of the length, so the width is 6/3 = 2 cm.

Hence, the lengths of the sides of the rectangle are 6 cm and 2 cm.

Answer

The lengths of the sides of the rectangle are 6 cm and 2 cm.