Area Calculator guide

Area vs Perimeter: What's the Difference?

Perimeter is the distance around the outside of a shape, measured in ordinary units like metres. Area is the amount of space inside it, measured in square units like square metres. Perimeter is what you would measure with a tape; area is what you would cover with tiles.

The difference in one sentence each

Perimeter is how far you would walk to go all the way around the edge of a shape.

Area is how much paint you would need to cover the inside of it.

For the 12 × 7 rectangle in the calculator: the perimeter is 2 × (12 + 7) = 38 units, and the area is 12 × 7 = 84 square units.

Units are the giveaway

If you are ever unsure which one an answer is, look at the units.

Perimeter is a length, so it uses plain units: centimetres, metres, feet.

Area is measured in square units: cm², m², square feet. That little 2 is not decoration — it is telling you that two dimensions were multiplied together.

This also works as a check on your own working. If you multiplied two lengths, you have an area. If you only added lengths, you have a perimeter. Getting a "square metre" answer to a fencing question means something has gone wrong.

Which one does the question want?

Real questions rarely use the words. These are the signals:

  • Fencing, edging, trim, framing, skirting board, ribbon → perimeter
  • Carpet, paint, turf, tiles, wallpaper, fertiliser → area
  • "How far around" → perimeter
  • "How much to cover" → area

The same perimeter can hold very different areas

This surprises people, and it is worth seeing once because it makes the difference concrete.

Take 20 metres of fencing. A 5 × 5 square uses all of it and encloses 25 m². A 9 × 1 rectangle also uses exactly 20 metres, but encloses only 9 m².

Same fence, same cost, and less than half the garden. For a fixed perimeter, the closer a rectangle is to a square, the more area it encloses — and a circle beats every rectangle.

This is why cans, water tanks and grain silos are round. It is the cheapest possible way to wrap a given amount of contents.

When both matter at once

Plenty of real jobs need both numbers, which is why the calculator on this page always gives you the two together.

Tiling a bathroom floor: the area tells you how many tiles to buy, and the perimeter tells you how much edging trim.

Laying a lawn: area for the turf, perimeter for the edging strip.

Painting a room: area of the walls for the paint, perimeter for the skirting board and coving.

Working out one and then realising you needed the other is a common second trip to the shop.

FAQ

Related questions

What is the difference between area and perimeter?

Perimeter is the distance around the outside of a shape, measured in ordinary units. Area is the space inside it, measured in square units.

Can two shapes have the same perimeter but different areas?

Yes, and the difference can be large. A 5×5 square and a 9×1 rectangle both have a perimeter of 20, but their areas are 25 and 9.

Which do I need for buying carpet?

Area, because carpet covers the inside of the room. You would want the perimeter for the edging strip that goes around it.

Why is area measured in square units?

Because you multiply two lengths to get it. Metres times metres gives metres squared, and the unit records that two dimensions were involved.

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