Steply

Calculate 288 in² to ft²

Step by step, with the reason for every step · Converting area units · Geometry

Step by step

The question

Question: change 288 in² to square feet.

1 Change the length

This square is 1 foot on each side.

Its area is 1 square foot.

1 foot is 12 inches.

So each side is 12 inches long.

1 ft = 12 in

2 Change the area

So the square holds 12 rows of 12 small squares, each 1 square inch.

So 1 square foot is 12 inches times 12 inches.

1 ft2 = 12 in × 12 in

12 times 12 is 144.

12 × 12 = 144

So 1 ft² = 144 in².

Not 12: the 12 comes in twice.

1 ft2 = 144 in2

3 Divide

144 square inches make 1 square foot.

So we divide by 144: small unit to big unit.

288 in2 = 288 ÷ 144 ft2

Careful!

Dividing by 12 only changes a length.

For square units it is 12 times 12: 144.

Careful: not 288 ÷ 12 ✗

144 times 2 is 288.

So 288 divided by 144 is 2.

144 × 2 = 288

So 288 in² = 2 ft².

288 in2 = 2 ft2

4 Check

Let's check: go back the other way.

Times 144.

2 × 144 = 288

We get 288 square inches again.

So it is right!

Let's look back.

First: change the length.

Then: change the area.

Then: divide.

Last: check.

Answer
288 in2 = 2 ft2

Your turn

Try this one yourself, then check:

Change 864 in² to ft².
Show the answer
6 ft²

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