SOLUTION: Inga is starting a new rectangular garden. She wants the lenghtk to be 3 times the width, and she has 56 meters of fencing to put around the garden. Use the system of equation list

Algebra ->  Length-and-distance -> SOLUTION: Inga is starting a new rectangular garden. She wants the lenghtk to be 3 times the width, and she has 56 meters of fencing to put around the garden. Use the system of equation list      Log On


   



Question 116788: Inga is starting a new rectangular garden. She wants the lenghtk to be 3 times the width, and she has 56 meters of fencing to put around the garden. Use the system of equation listed below to find the length "L" and width "W" of the garden 2L + 2W= 56 and L=3W
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
2L+%2B+2W+=+56
L+=+3W
Substitute the 2nd equation in the 1st
2%283W%29+%2B+2W+=+56
6W+%2B+2W+=+56
8W++=+56
W+=+7meters answer
L+=+3W
L+=+21meters answer
The garden will be 7 X 21 m2 (square meters)
check
Does 2L+%2B+2W+=+56?
2%2A21+%2B+2%2A7+=+56
42+%2B+14+=+56
56+=+56
OK
Does L+=+3W?
21+=+3%2A7
21+=+21
OK