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.
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.
3 times 3 is 9.
So 1 yd² = 9 ft².
Not 3: the 3 comes in twice.
3 Multiply
Each square yard is 9 square feet.
We have 4 of them, so we multiply: big unit to small unit.
Careful!
Times 3 only changes a length.
A square has two sides to change: times 3, and times 3 again.
4 times 9 is 36.
So 4 yd² = 36 ft².
4 Check
Let's check: go back the other way.
Divide by 9.
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.