Question

Периметр квадрата дорівнює 14см. Знайти площу прямокутника, якщо одна сторона прямокутника більше в 4 рази за іншу

Answer 1

Ответ:

7,4 см²

Пошаговое объяснение:

пусть одна сторона х, тогда другая 4х. Составим и решим уравнение!

14 см=2(х+4х)

14 см=2*5х

10х=14 см |:10

х=1,4 см — одна сторона, а другая 4*1,4 см = 5,6 см

а площадь прямоугольника равна произведению его длины и ширины:

S=1,4 см * 5,6 см== 7,84 см²

Answer 2

Problem Analysis

We are given that the perimeter of a square is 14 cm. We need to find the area of a rectangle where one side is 4 times larger than the other side.

Solution

Let's start by finding the length of one side of the square. The perimeter of a square is given by the formula: perimeter = 4 * side. We are given that the perimeter is 14 cm, so we can set up the equation:

4 * side = 14

To find the length of one side, we can divide both sides of the equation by 4:

side = 14 / 4 side = 3.5 cm

Now, let's find the length and width of the rectangle. We are given that one side of the rectangle is 4 times larger than the other side. Let's assume the smaller side is x cm. Then the larger side would be 4x cm.

The perimeter of a rectangle is given by the formula: perimeter = 2 * (length + width). We know that the perimeter of the rectangle is 14 cm, so we can set up the equation:

2 * (x + 4x) = 14

Simplifying the equation:

2 * 5x = 14 10x = 14 x = 14 / 10 x = 1.4 cm

So, the smaller side of the rectangle is 1.4 cm and the larger side is 4 times larger, which is 4 * 1.4 = 5.6 cm.

Now, let's find the area of the rectangle. The area of a rectangle is given by the formula: area = length * width. In this case, the length is 5.6 cm and the width is 1.4 cm. So, we can calculate the area:

area = 5.6 cm * 1.4 cm area = 7.84 cm^2

Therefore, the area of the rectangle is 7.84 square centimeters.

Answer

The area of the rectangle is 7.84 square centimeters.