Question

Grace weaves a rug that is 1/3 yard wide and 2 yards long. She wants to
weave a rug that uses the same design but is 1 yard wide. How long will
the rug be?
What did you do first to find the length? Why did you choose that method?

Answer 1

Answer:

6 yards long

Step-by-step explanation:

1/3 yards wide = 2 yards long

Let x = length of the other rug

1 yard wide = x yards long

1/3 : 2 = 1 : x

1/3 ÷ 2 = 1 ÷ x

1/3 × 1/2 = 1 / x

1/6 = 1/ x

Cross product

1*x = 6*1

x= 6 yards

Therefore, the length of the new rug with 1 yard wide is 6 yards long

The first thing to do is to find the ratio of wide to long of the two rugs by representing the long of the second rug with x

It is the simplest method to solve the question