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What area really is

What you'll learn

See area as the number of unit squares that cover a shape — before any formula.

Area is just how much flat space a shape covers. Before any formula, area is something you can count: how many unit squares fit inside?

Count the squares

A unit square is 1 unit on each side. Lay them edge to edge to tile a shape, and the area is simply how many you used.

43
4 across, 3 down = 12 unit squares

That rectangle holds 12 unit squares, so its area is 12 square units. No formula yet — just counting.

The shortcut

You don't have to count one at a time. The squares line up in a grid: 4 in each row, 3 rows down. So 4 × 3 = 12. That's where area = width × height comes from — it's a faster way to count the very same squares.

52
5 × 2 = 10 square units

Whatever the shape, area always answers one question: how many unit squares would cover it? Every formula you'll meet is just a shortcut for that count.

Check your understanding

Question 1 of 2

A rectangle is 5 units wide and 3 units tall. How many unit squares cover it?

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