Calculate 45 ft² to yd² Step by Step

Step by step

The question

Question: change 45 ft² to square yards.

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 Divide

9 square feet make 1 square yard.

So we divide by 9: small unit to big unit.

45 ft² = 45 ÷ 9 yd²

Careful!

Dividing by 3 only changes a length.

For square units it is 3 times 3: 9.

Careful: not 45 ÷ 3 ✗

9 times 5 is 45.

So 45 divided by 9 is 5.

9 × 5 = 45

So 45 ft² = 5 yd².

45 ft² = 5 yd²

4 Check

Let's check: go back the other way.

Times 9.

5 × 9 = 45

We get 45 square feet again.

So it is right!

Let's look back.

First: change the length.

Then: change the area.

Then: divide.

Last: check.

Answer