梯形是具有至少一对平行边的四边形,其他两个边可能不平行。平行的侧面称为梯形的底部,另外两个侧面称为其腿。平行边之间的垂直距离称为梯形的高度。
公式 :
Area of Trapezium : 0.5 * (a + b) * h
Perimeter of Trapezium : a + b + c + d
例子 :
Input : a = 5, b = 6, c = 4, d = 3, h = 8
Output : Area of Trapezium : 44
Perimeter of Trapezium : 18
Input : a = 10, b = 15, c = 14, d = 11, h = 21
Output : Area of Trapezium: 262.5
Perimeter of Trapezium: 50
下面是上述公式的实现:
C++
// CPP program to find area
// and perimeter of trapezium
#include
using namespace std;
// Function to calculate Area of trapezium
float areaTrapezium(float a, float b, float h)
{
return (1.0 / 2 * (a + b) * h);
}
// Function to calculate perimeter of trapezium
float perimeterTrapezium(float a, float b, float c,
float d)
{
return (a + b + c + d);
}
// Driver function
int main()
{
float a = 5, b = 15, c = 11, d = 4, h = 20;
cout << "Area of Trapezium = " <<
areaTrapezium(a, b, h) << endl;
cout << "Perimeter of Trapezium = " <<
perimeterTrapezium(a, b, c, d);
return 0;
}
Java
// Java program to calculate area
// and perimeter of Trapezium
public class GFG {
// Function to calculate area of Trapezium
public static float areaTrapezium (float a,
float b, float h)
{
return ((a + b) * h) / 2;
}
// Function to perimeter of Trapezium
public static float perimeterTrapezium (float a,
float b, float c, float d)
{
return (a + b + c + d);
}
// Driver function
public static void main(String args[])
{
// a, b, c, d are four sides of Trapezium
// and h is height between two parallel sides.
float a = 5;
float b = 15;
float c = 11;
float d = 4;
float h = 20;
// Printing value of area.
System.out.print("Area Of Trapezium : ");
System.out.println(areaTrapezium (a, b, h));
// Printing value of Perimeter.
System.out.print("Perimeter Of Trapezium : ");
System.out.println(perimeterTrapezium (a, b, c, d));
}
}
// This code is contributed by "akanshgupta"
Python3
# Python3 code to find area
# and perimeter of trapezium
# Function to calculate
# Area of trapezium
def areaTrapezium (a, b, h):
return (1.0 / 2 * (a + b) * h)
# Function to calculate
# perimeter of trapezium
def perimeterTrapezium (a, b, c, d):
return (a + b + c + d)
# Driver function
a = 5
b = 15
c = 11
d = 4
h = 20
print("Area of Trapezium =",
areaTrapezium(a, b, h))
print("Perimeter of Trapezium =",
perimeterTrapezium(a, b, c, d))
# This code is contributed by "Sharad_Bhardwaj"
C#
// C# program to calculate area
// and perimeter of Trapezium
using System;
class GFG {
// Function to calculate area of Trapezium
public static float areaTrapezium (float a,
float b, float h)
{
return ((a + b) * h) / 2;
}
// Function to perimeter of Trapezium
public static float perimeterTrapezium (float a,
float b, float c, float d)
{
return (a + b + c + d);
}
// Driver function
public static void Main()
{
// a, b, c, d are four sides of Trapezium
// and h is height between two parallel sides.
float a = 5;
float b = 15;
float c = 11;
float d = 4;
float h = 20;
// Printing value of area.
Console.Write("Area Of Trapezium : ");
Console.WriteLine(areaTrapezium (a, b, h));
// Printing value of Perimeter.
Console.Write("Perimeter Of Trapezium : ");
Console.WriteLine(perimeterTrapezium (a, b, c, d));
}
}
// This code is contributed by "vt_m"
PHP
Javascript
输出:
Area of Trapezium = 200
Perimeter of Trapezium = 35