SOLUTION: Cassie wants to wallpaper her bedroom. She bought enough wallpaper to paper 44m around her room. If the width of her room is 4m larger than half the length, What are the dimensions

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Cassie wants to wallpaper her bedroom. She bought enough wallpaper to paper 44m around her room. If the width of her room is 4m larger than half the length, What are the dimensions      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 998071: Cassie wants to wallpaper her bedroom. She bought enough wallpaper to paper 44m around her room. If the width of her room is 4m larger than half the length, What are the dimensions of her room?
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+
given:
+W+=+L%2F2+%2B+4+
+L%2F2+=+W+-+4+
+L+=+2W+-+8+
---------------
By substitution:
+P+=+2%2A%28+2W+-+8+%29+%2B+2W+
+P+=+44+
+44+=+2%2A%28+2W+-+8+%29+%2B+2W+
+44+=+4W+-+16+%2B+2W+
+6W+=+60+
+W+=+10+
and
+L+=+2W+-+8+
+L+=+2%2A10+-+8+
+L+=+12+
The room is 12 m x 10 m
----------------------
check:
+P+=+2L+%2B+2W+
+P+=+2%2A12+%2B+2%2A10+
+P+=+24+%2B+20+
+P+=+44+
OK
+W+=+L%2F2+%2B+4+
+10+=+12%2F2+%2B+4+
+10+=+6+%2B+4+
+10+=+10+
OK