You install 618 feet of fencing along the perimeter of a regular yard. The width of the yard is 152 feet. What is the length of the yard?

The length of the yard is 157ft.

Step-by-step explanation:

We are being given the perimeter and the width. We know that the perimeter (in this specific problem) is equal to the length times two plus the width times two, so in order to find the length of the yard this is the process:

152 x 2 = 204

Now we subtract this from the perimeter, leaving us with a number that we know is twice the length

618 - 204 = 314

Now we divide by two, in order to get the length.

314/2 = 157

So our final answer would be 157ft.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents