Question

A rectangular patio is 9 yd 2ft long and 5 yd 2ft wide. What is the perimeter of the patio in yards?

A. 54 7/9
B. 15 1/3
C. 164 1/3
D. 30 2/3

Answer 1

D. 30 2/3

Explanation:

What you want to do is convert everything for feet, ill explain why later. 1 yard is 3 feet long. SO 9 x 3 = 27. 27 + 2 = 29 feet. The patio is 29 feet long.

5 x 3 = 15. 15 + 2 = 17 feet. So the patio is 29 x 17. To find the perimeter, you want to do: 29 + 29 + 17 + 17 = 92 feet. Convert it back to yards by doing 92/3. That equals 30.6667. In other words, 30 2/3. The answer is D. Hope this helps!

Answer 2

D. 30 2/3

Explanation:

The problem is asking for the perimeter in yards, that means we have to transform feet to yards. Also, remember that the perimeter refers to the sum of all sides.

We know that 1 yard represent 3 feet. So:

`2ft(1yd)/(3ft)=(2)/(3)yd`

That is, 2 feet represent 2/3 yards.

Now, we have to sum all sides:

`2(9+(2)/(3))+2(5+(2)/(3))=18+(4)/(3)+10+ (4)/(3)=28+(8)/(3)=(84+8)/(3)=(92)/(3)=30(2)/(3)`

Therefore, the right answer is D.