查找梯形面积和周长的程序

17 Mar 2025 | 6 分钟阅读

在本文中，我们将了解不同编程语言中计算梯形面积和周长的程序。

但在编写程序之前，让我们先简要介绍一下梯形及其面积和周长的计算公式。

梯形

梯形（也称为斜方 trapezoid）是一种几何形状，包括四条边，其中一对对边是平行的。平行边称为底，非平行边称为腰。平行边可以是水平、垂直或倾斜（对角线）。

它是一种凸四边形。这意味着它是一个有四条边和一个平行边的封闭形状。

下面图片中显示了梯形的表示 -

Program to find the area and perimeter of trapezium

梯形面积

计算梯形面积的公式如下 -

Area of trapezium (A) = ½ (b1 + b2) * h
Or,
Area of trapezium (A) = h/2 * (b1 + b2)
Or,
Area of trapezium (A) = h * (b1 + b2/2)

梯形周长

梯形的周长是其所有边的总和。计算边为 AB、BC、CD 和 DA 的梯形周长的公式如下 -

如果 AB = a，BC = b，CD = c，DA = d，则梯形周长为 -

现在，让我们看看计算梯形面积和周长的程序。

计算梯形面积和周长的程序

在程序中，我们使用以下公式来计算梯形的面积和周长 -

Area of trapezium = ½ * (a + b) * h (Where, 'a' and 'b' are the parallel sides of trapezium, and 'h' is the perpendicular distance between parallel sides)
Perimeter of trapezium = a + b + c + d (Where, 'a', 'b', 'c', and 'd' are the sides of trapezium)

程序：编写一个 C 语言程序来计算梯形的面积和周长。

#include <stdio.h>
int area(int a, int b, int h)
{
return 0.5 * (a + b) * h; //'a' and 'b' are the parallel sides, and 'h' is the perpendicular distance 
}
int perimeter(int a, int b, int c, int d)
{
	return (a + b + c + d);
}
int main()
{
	int a = 3, b = 4, c = 6, d = 5, h = 6;
	printf("a = %d, b = %d, c = %d, d = %d, h = %d\n", a, b, c, d, h);
	printf("Area of Trapezium is: %d\n", area(a, b, h));
	printf("Perimeter of Trapezium is: %d", perimeter(a, b, c, d));
	return 0;
}

输出

程序：编写一个 C# 语言程序来计算梯形的面积和周长。

using System;

class Jtp {
public static int area(int a, int b, int h)
{
return (h/2 * (a + b)); //'a' and 'b' are the parallel sides, and 'h' is the perpendicular distance 
} 
	public static int perimeter(int a, int b, int c, int d)
	{
		return (a + b + c + d);
	}
	public static void Main()
	{
		int a = 3, b = 4, c = 6, d = 5, h = 6;
		Console.WriteLine("a = " + a + ", b = " + b + ", c = " + c + ", d = " + d + ", h = " + h);
		Console.WriteLine("Area of Trapezium is: " + area(a, b, h));
		Console.WriteLine("Perimeter of Trapezium is: " + perimeter(a, b, c, d));
	}

}

输出

程序：编写一个 Java 程序来计算梯形的面积和周长。

public class Trapezium {
public static int area(int a, int b, int h)
{
return (h/2 * (a + b)); //'a' and 'b' are the parallel sides, and 'h' is the perpendicular distance 
}
public static int perimeter(int a, int b, int c, int d)
{
return (a + b + c + d); //'a', 'b', 'c', and 'd' are the sides of trapezium
}
public static void main(String args[])
{
	int a = 3, b = 4, c = 6, d = 5, h = 6;
	System.out.println();
	System.out.println("a = " + a + ", b = " + b + ", c = " + c + ", d = " + d + ", h = " + h);
	System.out.println("Area of Trapezium is: " + area(a, b, h));
	System.out.println("Perimeter Of Trapezium is: " + perimeter(a, b, c, d));
}
}

输出

在命令提示符下编译文件并执行后，输出将是 -

程序：编写一个 JavaScript 程序来计算梯形的面积和周长。

<!DOCTYPE html>
<html>
   <body>
<script>
function area(a, b, h)
{
	return (0.5 * (a + b) * h);
}
function perimeter(a, b, c, d)
{
	return (a + b + c + d);
}
var a = 3, b = 4, c = 6, d = 5, h = 6;
document.write("a = " + a + ", b = " + b + ", c = " + c + ", d = " + d + ", h = " + h + "<br>");
document.write("Area of Trapezium is: " + area(a, b, h) + "<br>");
document.write("Perimeter of Trapezium is: " + perimeter(a, b, c, d));
</script>

</body>
</html>

输出

程序：编写一个 C++ 程序来计算梯形的面积和周长。

#include <iostream>
using namespace std;

int area(int a, int b, int h)
{
return 0.5 * (a + b) * h; //'a' and 'b' are the parallel sides, and 'h' is the perpendicular distance 
}
int perimeter(int a, int b, int c, int d)
{
	return (a + b + c + d);
}

int main()
{
	int a = 3, b = 4, c = 6, d = 5, h = 6;
	cout<<"a = "<< a <<", b = "<< b <<", c = "<< c <<", d = "<< d <<", h = "<< h << endl;
	cout<< "Area of Trapezium is: " << area(a, b, h) << endl;
	cout<< "Perimeter of Trapezium is: " << perimeter(a, b, c, d);
	return 0;
}

输出

程序：编写一个 PHP 程序来计算梯形的面积和周长。

<?php 
function area($a, $b, $h) 
{ 
    return (0.5 * ($a + $b) * $h); 
} 
function perimeter($a, $b, $c, $d) 
{ 
    return ($a + $b + $c + $d); 
} 
$a = 3; $b = 4; $c = 6; $d = 5; $h = 6; 
echo("a = ". $a .", b = ". $b .", c = ". $c .", d = ". $d .", h = ". $h ."<br/>");
echo ("Area of Trapezium is: ". area($a, $b, $h)."<br/>"); 
echo("Perimeter of Trapezium is: ". perimeter($a, $b, $c, $d)); 
?>

输出

程序：编写一个 Python 程序来计算梯形的面积和周长。

def area(a, b, h): 
    return (0.5 * (a + b) * h) 
def perimeter(a, b, c, d): 
    return (a + b + c + d) 
a = 3
b = 4
c = 6
d = 5
h = 6
print("a =", a)
print("b =", b)
print("c =", c)
print("d =", d)
print("h =", h)
print("Area of Trapezium =", area(a, b, h)) 
print("Perimeter of Trapezium =", perimeter(a, b, c, d))

输出

以上就是本文的全部内容。在这里，我们讨论了使用 C、C++、Java、C#、PHP、Python 和 JavaScript 计算梯形面积和周长的程序。希望本文对您有所帮助和启发。

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