SOLUTION: Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 7 feet more than 6 times the width. She needs 70 feet of fe

Algebra ->  Finance -> SOLUTION: Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 7 feet more than 6 times the width. She needs 70 feet of fe      Log On


   

Question 1121798: Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 7 feet more than 6 times the width. She needs 70 feet of fencing to do the job. Find the length of the yard.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter, +P+ is
+P+=+2W+%2B+2L+
Given:
+L+=+6W+%2B+7+
Plug this result back into +P+
+P+=+2W+%2B+2%2A%28+6W+%2B+7+%29+
+P+=+70+
+70+=+2W+%2B+12W+%2B+14+
+70+=+14W+%2B+14+
+14W+=+56+
+W+=+4+
And
+L+=+6%2A4+%2B+7+
+L+=+24+%2B+7+
+L+=+31+
The length is 31 ft
———————————
Check:
+P+=+2%2A4+%2B+2%2A31+
+P+=+8+%2B+62+
+P+=+70+
OK