Trapezoid Area Calculator
body {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
background-color: #f8f9fa;
color: #333;
line-height: 1.6;
margin: 0;
padding: 20px;
}
.loan-calc-container {
max-width: 800px;
margin: 30px auto;
background-color: #ffffff;
padding: 30px;
border-radius: 8px;
box-shadow: 0 4px 15px rgba(0, 74, 153, 0.1);
border: 1px solid #e0e0e0;
}
h1, h2 {
color: #004a99;
text-align: center;
margin-bottom: 25px;
}
.input-group {
margin-bottom: 20px;
display: flex;
align-items: center;
flex-wrap: wrap; /* Allow wrapping on smaller screens */
}
.input-group label {
flex: 0 0 180px; /* Fixed width for labels */
margin-right: 15px;
font-weight: 500;
color: #004a99;
text-align: right; /* Align labels to the right */
}
.input-group input[type="number"] {
flex: 1; /* Take remaining space */
padding: 10px 15px;
border: 1px solid #ccc;
border-radius: 4px;
font-size: 1rem;
min-width: 150px; /* Ensure input has a minimum width */
box-sizing: border-box; /* Include padding and border in the element's total width and height */
}
.input-group .unit {
margin-left: 10px;
font-style: italic;
color: #666;
}
button {
display: block;
width: 100%;
padding: 12px 20px;
background-color: #28a745;
color: white;
border: none;
border-radius: 4px;
font-size: 1.1rem;
cursor: pointer;
transition: background-color 0.3s ease;
margin-top: 15px;
}
button:hover {
background-color: #218838;
}
#result {
margin-top: 30px;
padding: 20px;
background-color: #e9ecef;
border-radius: 4px;
text-align: center;
border: 1px solid #dee2e6;
}
#result h3 {
margin-top: 0;
color: #004a99;
font-size: 1.4rem;
}
#result-value {
font-size: 2.5rem;
font-weight: bold;
color: #28a745;
display: block; /* Ensure it takes its own line */
}
.article-section {
margin-top: 40px;
padding-top: 20px;
border-top: 1px solid #eee;
}
.article-section h2 {
text-align: left;
color: #004a99;
}
.article-section p, .article-section ul, .article-section li {
margin-bottom: 15px;
}
.article-section li {
margin-left: 20px;
}
/* Responsive Adjustments */
@media (max-width: 600px) {
.input-group {
flex-direction: column;
align-items: stretch; /* Stretch items to fill container width */
}
.input-group label {
flex: none; /* Remove fixed width */
width: 100%; /* Full width */
text-align: left; /* Align labels to the left */
margin-right: 0;
margin-bottom: 5px;
}
.input-group input[type="number"] {
width: calc(100% – 30px); /* Adjust width to account for padding */
}
.input-group .unit {
margin-left: 0;
margin-top: 5px;
}
.loan-calc-container {
padding: 20px;
}
}
Trapezoid Area Calculator
Calculated Area
—
square units
Understanding the Trapezoid Area Formula
A trapezoid is a quadrilateral with at least one pair of parallel sides. These parallel sides are known as the bases of the trapezoid. The distance between these two parallel bases, measured perpendicularly, is called the height.
The formula for calculating the area of a trapezoid is derived from the idea that a trapezoid can be thought of as a rectangle and two triangles, or by averaging the lengths of its two bases and multiplying by its height. The standard formula is:
Area = 0.5 * (base1 + base2) * height
Where:
- base1: The length of one of the parallel sides.
- base2: The length of the other parallel side.
- height: The perpendicular distance between the two bases.
This formula essentially finds the average length of the two bases (by summing them and dividing by 2) and then multiplies this average by the height, similar to how you would calculate the area of a rectangle (length × width).
How to Use This Calculator
Using our Trapezoid Area Calculator is straightforward:
- Identify the lengths of the two parallel sides of your trapezoid. Enter these values into the "Length of Base 1" and "Length of Base 2" fields. Ensure you use consistent units for both bases.
- Determine the perpendicular height of the trapezoid. This is the distance between the two bases. Enter this value into the "Height" field, using the same units as the bases.
- Click the "Calculate Area" button.
- The calculator will display the area of the trapezoid in "square units" in the result section.
Practical Applications
Calculating the area of a trapezoid has various practical applications in fields such as:
- Architecture and Construction: Determining the surface area of slanted roofs, windows, or wall sections shaped like trapezoids.
- Landscaping and Gardening: Estimating the area of garden beds or plots that have a trapezoidal shape.
- Engineering: Calculating loads or volumes in structures where trapezoidal cross-sections are involved.
- Graphic Design and Art: Understanding proportions and areas for designs incorporating trapezoidal elements.
By providing the dimensions, this calculator offers a quick and accurate way to find the area, saving time and ensuring precision for your projects.
function calculateTrapezoidArea() {
var base1 = parseFloat(document.getElementById("base1").value);
var base2 = parseFloat(document.getElementById("base2").value);
var height = parseFloat(document.getElementById("height").value);
var resultValue = "–";
if (!isNaN(base1) && !isNaN(base2) && !isNaN(height) && base1 > 0 && base2 > 0 && height > 0) {
var area = 0.5 * (base1 + base2) * height;
resultValue = area.toFixed(2); // Display with 2 decimal places
} else {
alert("Please enter valid positive numbers for all dimensions.");
}
document.getElementById("result-value").innerText = resultValue;
}