Question

roy is going to increase the size of his patio to make room for a new bbq grill. The ratio of the area of the old patio to the area of the new patio is 2 1/4 : 6 3/4. Convert this ratio to a unit rate and explain what this unit rate means in the context of this problem.

Answer 1

1/3

Explanation:

2 1/4 divided by 6 3/4

9/4 multiplied 27/4

Cross cancel

1/3

Sorry, this is a late answer.

Answer 2

We are going to rewrite the ratio.
We have:
2 1/4: 6 3/4
= (2 + 1/4) / (6 + 3/4)
= (2.25) / (6.75)
= (225/100) / (675/100)
= (45/20) / (135/20)
= (9/4) / (27/4)
= 9/27
= 3/9
= 1/3
Therefore, we have:
A1 / A2 = 1/3
A2 = 3A1
A1: old patio
A2: new patio
Answer:
The area of the new patio is three times larger than the area of the old patio.