SOLUTION: A carpet is 4 yards longer than it is wide. If it has an area of 27 square yards, what are its dimensions? Round your results in yards to one decimal place. Suggestion: Refer to th

Algebra ->  Surface-area -> SOLUTION: A carpet is 4 yards longer than it is wide. If it has an area of 27 square yards, what are its dimensions? Round your results in yards to one decimal place. Suggestion: Refer to th      Log On


   

Question 1126027: A carpet is 4 yards longer than it is wide. If it has an area of 27 square yards, what are its dimensions? Round your results in yards to one decimal place. Suggestion: Refer to the figure below, where x is in yards. Use the dimensions shown in that figure to calculate the area, and set that equal to 27 square yards.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+L+=+W+%2B+4+
+A+=+27+
+A+=+L%2AW+
+27+=+%28+W%2B4+%29%2AW+
+27+=+W%5E2+%2B+4W+
+W%5E2+%2B+4W+-+27+=+0+
+W+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+1+
+b+=+4+
+c+=+-27+
+W+=+%28+-4+%2B-sqrt%28+4%5E2+-+4%2A1%2A%28-27%29%29%29%2F%28+2%2A1+%29+
+W+=+%28+-4+%2B-sqrt%28+16+%2B+108+%29%29%2F2+
+W+=+%28+-4+%2B-sqrt%28+124+%29%29%2F2+
+W+=+-2+%2B+11.136%2F2+
+W+=+-2+%2B+5.568+
+W+=+3.568+
and
+W+=+-2+-+5.568+
+W+=+-7.568+
and
+L+=+3.568+%2B+4+
+L+=+7.568+
------------------------
check answers:
+A+=+3.568%2A7.568+
+A+=+27.003+
error due to rounding off