Question

A piece of land is 4 miles wide. It is 4 1/2 times as long as it is wide. How long is the piece of

land?
Write your answer as a fraction or as a whole or mixed number.

Answer 1

The piece of land is 18 miles long, which is found by multiplying the width of 4 miles by the scale factor of 4 1/2.

Step-by-step explanation:

To find the length of the piece of land that is 4 1/2 times as long as it is wide, we need to multiply the width of the land by 4 1/2. Since the width is 4 miles, we can write this as:

Length = Width × Scale Factor = 4 miles × 4 1/2

To multiply by a mixed number, it's often easiest to convert the mixed number to an improper fraction first. The mixed number 4 1/2 can be converted to the improper fraction 9/2. Thus, the calculation becomes:

Length = 4 miles × 9/2 = (4 × 9) / 2 = 36 / 2 = 18 miles

So, the length of the piece of land is 18 miles.