Question

Найдите площадь прямоугольника,если его периметр равен 80 см,а отношение сторон равно 2:3. помогите пожалуйста!!!!!!

Answer 1

Площадь прямоугольника равна произведению его сторон 
80 / 5 = 16 - это 1 часть
16 * 2 = 32 см :2 = 16 см ( 32 см - это длина двух сторон прямоугольника, а нам надо найти одну из двух сторон, поэтому мы делим на 2))
16 * 3 = 48 см : 2 =  24см  ( 48 см - длина других двух сторон прямоугольника)
16 *  24  = 384 см площадь

Answer 2

Calculation of the Rectangle's Area

To find the area of a rectangle, we need to know its perimeter and the ratio of its sides. In this case, the perimeter is given as 80 cm, and the ratio of the sides is 2:3.

Let's calculate the area step by step:

1. Let's assume the shorter side of the rectangle is 2x. 2. Since the ratio of the sides is given as 2:3, the longer side will be 3x.

Now, let's calculate the perimeter using the formula P = 2(a + b), where P is the perimeter, a and b are the lengths of the sides:

80 = 2(2x + 3x)

Simplifying the equation:

80 = 2(5x)

80 = 10x

Dividing both sides by 10:

x = 8

Now that we know x = 8, we can calculate the lengths of the sides:

- The shorter side: 2x = 2 * 8 = 16 cm - The longer side: 3x = 3 * 8 = 24 cm

Finally, we can calculate the area of the rectangle using the formula A = length * width:

A = 16 cm * 24 cm = 384 cm^2

Therefore, the area of the rectangle is 384 square centimeters.