SOLUTION: The perimeter of a rectangular yard is 88 feet. If the length is 4 less than three times the width, what are the dimensions of the yard?

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Question 1046553: The perimeter of a rectangular yard is 88 feet. If the length is 4 less than three times the width, what are the dimensions of the yard?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for perimeter is:
+P+=+2L+%2B+2W+
where
+L+=+length+
+W+=+width+
-----------------
given:
+L+=+3W+-+4+
Plug this into above formula:
+P+=+2%2A%28+3W+-+4+%29+%2B+2W+
+P+=+6W+-+8+%2B+2W+
+P+=+8W+-+8+
You are given that +P+=+88+ ft
+88+=+8W+-+8+
Divide both sides by +8+
+11+=+W+-+1+
+W+=+12+
and
+L+=+3W+-+4+
+L+=+3%2A12+-+4+
+L+=+36+-+4+
+L+=+32+
-------------------
The yard is 32 x 12
-------------------
check:
+P+=+2L+%2B+2W+
+P+=+2%2A32+%2B+2%2A12+
+P+=+64+%2B+24+
+P+=+88+
OK