Question

Периметр ромба равен 32 см, а высота - 6 см.Найдите площадь ромба.Cпасибоо)) если можно с объяснениями=**

Answer 1

32:4=8(см)-1 сторона(основание) ,т.к. все стороны равны ромба равны и их 4)

площадь параллелограмма(чем является ромб) равна произведению его основания на высоту.

6х8=48 (см2)

Answer 2

P ромба = 4*a (а - одна из сторон ромба). Найдем сторону ромба, выразив ее из формулы периметра: a = P / 4

 

a = 32 / 4 = 8 (см) (одна сторона ромба)

 

S ромба = a*h (сторона, умноженная на высоту)

 

S = 8*6 = 48 (см²)

 

Ответ: 48 см²

Answer 3

Calculation of the Area of a Rhombus

To find the area of a rhombus, we need to know the length of one of its diagonals. However, in this case, we are given the perimeter and the height of the rhombus.

Let's start by finding the length of one side of the rhombus. Since the perimeter is given as 32 cm and a rhombus has four equal sides, we can divide the perimeter by 4 to find the length of one side:

Length of one side = Perimeter / 4 = 32 cm / 4 = 8 cm.

Next, we need to find the length of one of the diagonals. To do this, we can use the formula for the height of a rhombus. The height of a rhombus is the perpendicular distance between any two opposite sides. In this case, the height is given as 6 cm.

The formula for the height of a rhombus is:

Height = (Diagonal 1 * Diagonal 2) / (2 * Length of one side)

Since the height and the length of one side are given, we can rearrange the formula to solve for one of the diagonals:

Diagonal 1 = (Height * 2 * Length of one side) / Diagonal 2

Substituting the given values, we have:

Diagonal 1 = (6 cm * 2 * 8 cm) / Diagonal 2

Now, we can solve for Diagonal 1. However, we need to know the value of Diagonal 2 to proceed. Unfortunately, the value of Diagonal 2 is not provided in the question. Therefore, we cannot calculate the area of the rhombus without this information.

If you have the value of Diagonal 2, please provide it, and I will be happy to help you calculate the area of the rhombus.