Question

Помогите с решением стороны прямоугольника относятся как 2 к 6 , а периметр равен 32 см. Найдите площадь прямоугольника

Answer 1

AB/BC как 2/6 или 1/3.
Значит BC больше в 3 раза AB
BC = 3AB
P = 2AB+ 2BC или 2AB+ 2*3AB = 2AB+6AB= 8AB = 32
AB = 32/8
AB = 4
т.к
BC = 3AB
BC = 3*4 = 12
S = AB*BC = 4 * 12 = 48

Answer 2

Finding the Lengths of the Rectangle

To find the area of a rectangle, we need to know the lengths of its sides. In this case, the sides are in the ratio of 2:6, and the perimeter is 32 cm. We can use this information to find the lengths of the sides.

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

Given that the ratio of the sides is 2:6, we can express the lengths of the sides as 2x and 6x, where x is a common multiplier.

Using the given perimeter, we can set up the equation: 32 = 2 * (2x + 6x)

Solving for x will give us the value of x, which we can then use to find the lengths of the sides.

Calculating the Area of the Rectangle

Once we have the lengths of the sides, we can calculate the area of the rectangle using the formula: Area = length * width

Let's proceed with solving for x and then finding the area of the rectangle.