Question

Периметр прямокутника дорівнює 126 м. Відомо, що одна сторона у 8 разів (-и) більша від іншої. Обчисли сторони прямокутника.

Answer 1

Perimeter of a Rectangle

To find the sides of a rectangle when the perimeter is given, we need to set up an equation based on the given information.

Let's assume that one side of the rectangle is represented by 'x'. According to the problem, the other side is 8 times larger than the first side. So, the length of the other side can be represented as '8x'.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 126 m. Therefore, we can set up the equation:

Perimeter = 2 * (Length + Width)

Substituting the values we have:

126 = 2 * (x + 8x)

Simplifying the equation:

126 = 2 * 9x

Dividing both sides by 2:

63 = 9x

Now, we can solve for 'x' by dividing both sides by 9:

x = 7

So, one side of the rectangle is 7 m, and the other side is 8 times larger, which is 56 m.

Therefore, the sides of the rectangle are 7 m and 56 m.