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Picture Frame Mat Calculator (Window Size and Border Widths)

The size to cut the window of a picture mat, and the widths of the side, top and bottom borders, from the frame opening, the picture size and how much the mat overlaps it.

Results

Side borders 8.60 cm
Mat window: width to cut 22.80 cm
Mat window: height to cut 28.80 cm
Top border 10.30 cm
Bottom border 10.90 cm
Does it work Yes — the picture fits the mat
The shape, to scale
Picture Frame Mat Calculator (Window Size and Border Widths)Picture Frame Mat Calculator (Window Size and Border Widths): W = 40.0 cm, H = 50.0 cmW = 40.0 cmH = 50.0 cm

What this tool does

The mat's outer size is the frame opening (cut it a millimetre or so under so it drops in) and its window is the picture minus the overlap on each side, usually 3–6 mm (about ⅛–¼ in), enough to hide the picture's edge and hold it in place. Whatever is left is the border, shared equally on the sides and the top. Framers often make the bottom border a little wider than the top — commonly 5–12 mm more — because a picture centred exactly looks as if it is sliding down; put that in the bottom-weighting field. If a border comes out negative, the picture is too large for the frame.

Formula

window = picture − 2 × overlap · side border = (frame − window width) ÷ 2 · top border = (frame − window height − extra) ÷ 2 · bottom = top + extra

Variables

SymbolMeaningUnit
fwFrame opening: widthcm
fhFrame opening: heightcm
pwPicture: widthcm
phPicture: heightcm
ovHow far the mat covers the picture on each sidecm
bxExtra on the bottom border (bottom weighting)cm
SBSide borderscm
WWMat window: width to cutcm
WHMat window: height to cutcm
TBTop bordercm
BBBottom bordercm
OKDoes it work—

Worked example

  • Frame opening: width40 cm
  • Frame opening: height50 cm
  • Picture: width24 cm
  • Picture: height30 cm
  • How far the mat covers the picture on each side0.6 cm
  • Extra on the bottom border (bottom weighting)0.6 cm
  • Side borders8.60 cm
  • Mat window: width to cut22.80 cm
  • Mat window: height to cut28.80 cm
  • Top border10.30 cm
  • Bottom border10.90 cm
  • Does it workYes — the picture fits the mat

Limitations

  • Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.
  • The calculation runs at full precision and only the display is rounded. If you copy an intermediate value and retype it, small differences can appear.