Question

Стороны прямоугольника относятся как 2к6 а его периметр равен 32см найдите площадь прямоугольника

Answer 1

1) 2+6=8
2) 32 :8=4
3) 4*2=8- 1 сторона
4) 4*6=24 -2сторона
5) 24*8=192-площадь

Answer 2

Problem Analysis

We are given that the sides of a rectangle are in the ratio of 2:6 and the perimeter of the rectangle is 32 cm. We need to find the area of the rectangle.

Solution

Let's assume the shorter side of the rectangle is 2x and the longer side is 6x, where x is a common factor.

The perimeter of a rectangle is given by the formula: perimeter = 2 * (length + width).

Given that the perimeter is 32 cm, we can set up the equation as follows: 2 * (2x + 6x) = 32

Simplifying the equation: 2 * 8x = 32 16x = 32 x = 2

Now that we have the value of x, we can find the lengths of the sides of the rectangle: Shorter side = 2x = 2 * 2 = 4 cm Longer side = 6x = 6 * 2 = 12 cm

The area of a rectangle is given by the formula: area = length * width. So, the area of the rectangle is: Area = 4 cm * 12 cm = 48 cm²

Therefore, the area of the rectangle is 48 cm².

Answer

The area of the rectangle is 48 cm².