Frame Mat Size Calculator

Understanding the Frame Mat Size Calculator Formula

introduction

A frame mat, also known as a matboard or matting, adds a decorative border to artwork or photographs within a frame. Calculating the ideal mat size is crucial to enhance the visual appeal of your framed piece. Here, we’ll explore the formula for determining the frame mat size without delving into any custom code.

Formula Overview

The frame mat size is typically calculated using the Pythagorean theorem, which relates the lengths of the sides of a right-angled triangle. In the context of a frame and mat, the theorem can be applied to find the diagonal size of the artwork, considering both the width and height.

The Pythagorean theorem is expressed as follows

c = ( a2 + b2​ )^1/2

In this equation:

• c represents the length of the hypotenuse (the diagonal size of the artwork).
• a is the width of the artwork.
• b is the height of the artwork.

Steps to Calculate Frame Mat Size

1. Measure the Width and Height:
   • Measure the width (a) and height (b) of the artwork in inches.
2. Apply the Formula:
   • Substitute the values of a and b into the Pythagorean theorem: c=a2+b2​
3. Calculate the Diagonal Size:
   • Use a calculator to find the square root of the sum of the squares of a and b. The result (c) represents the recommended diagonal size of the frame mat.
4. Round to the Nearest Decimal:
   • For practicality and aesthetic considerations, round the calculated mat size to the nearest decimal point.

Wrapping it up

By systematically measuring the width (a) and height (b), applying the formula, and rounding the result, you ensure precision in selecting the optimal mat size. This calculated approach enhances the overall aesthetics of your framed pieces, providing a thoughtful and professional display. Whether framing photographs or paintings, the formula serves as a valuable guide for achieving a harmonious and visually appealing final product.