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Calculate 4 yd² to ft²

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

Step by step

The question

Question: change 4 yd² to square feet.

1 Change the length

This square is 1 yard on each side.

Its area is 1 square yard.

1 yard is 3 feet.

So each side is 3 feet long.

1 yd = 3 ft

2 Change the area

So the square holds 3 rows of 3 small squares, each 1 square foot.

So 1 square yard is 3 feet times 3 feet.

1 yd2 = 3 ft × 3 ft

3 times 3 is 9.

3 × 3 = 9

So 1 yd² = 9 ft².

Not 3: the 3 comes in twice.

1 yd2 = 9 ft2

3 Multiply

Each square yard is 9 square feet.

We have 4 of them, so we multiply: big unit to small unit.

4 yd2 = 4 × 9 ft2

Careful!

Times 3 only changes a length.

A square has two sides to change: times 3, and times 3 again.

Careful: not 4 × 3 ✗

4 times 9 is 36.

4 × 9 = 36

So 4 yd² = 36 ft².

4 yd2 = 36 ft2

4 Check

Let's check: go back the other way.

Divide by 9.

36 ÷ 9 = 4

We get 4 square yards again.

So it is right!

Let's look back.

First: change the length.

Then: change the area.

Then: multiply.

Last: check.

Answer
4 yd2 = 36 ft2

Your turn

Try this one yourself, then check:

Change 6 yd² to ft².
Show the answer
54 ft²

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