Question

match each measurement on the left with an equal measurement on the right. Some answer options on the right will not be used21/3 yards102 inches31/2 miles41/2 miles18,480 feet7 feet71/2 feet81/2 feet21,120 feet23,760 fee

Answer 1

To match each measurement with its corresponding equal value.

We will resolve the measurements on the left to feet and compare them with the measurements on the right.

Convert 2 1/3 yards to feet

`\begin{gathered} 1\text{ yards = 3 feet} \\ (7)/(3)\text{yards = 3 }*(7)/(3)=7\text{ feet} \\ \end{gathered}`

So the first measurement on the left can be matched to the 2nd measurement on the right.

`\begin{gathered} \text{Convert 102 inches to feet} \\ \end{gathered}`
`\begin{gathered} 1\text{ inch = }(1)/(12)\text{ feet} \\ 102\text{ inches =}(1)/(12)*102=8\text{ }(1)/(2)ft\text{ or 8 1/2 feet} \end{gathered}`

The second measurement on the left can be matched to the 4th measurement on the right.

`\begin{gathered} \text{Convert 3 1/2 miles to feet} \\ 1\text{ miles = 5280 feet } \\ (7)/(2)\text{miles}=\text{ 5280 }*\text{ }(7)/(2)=18,480\text{ feet} \end{gathered}`

The third measurement on the left can be matched to the 1st measurement on the right.

`\begin{gathered} \text{Convert 4 1/2 miles to feet} \\ 1\text{ miles = 5280 feet} \\ (9)/(2)\text{miles}=5280*(9)/(2)=23,760\text{ feet} \end{gathered}`

The fourth measurement on the left can be matched to the 6th measurement on the right.