SOLUTION: Ilona's den is 10 feet longer than it is wide. If the den's area is 200 square feet, what are the dimensions of the room? The dimensions(in feet) of the room are?

Algebra ->  Surface-area -> SOLUTION: Ilona's den is 10 feet longer than it is wide. If the den's area is 200 square feet, what are the dimensions of the room? The dimensions(in feet) of the room are?      Log On


   

Question 617070: Ilona's den is 10 feet longer than it is wide. If the den's area is 200 square feet, what are the dimensions of the room? The dimensions(in feet) of the room are?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the width
+x+%2B+10+ = the length
+x%2A%28+x+%2B+10+%29+=+200+

+x%5E2+%2B+10x+%2B+25+=+225+
+%28+x+%2B+5+%29%5E2+=+15%5E2+
Take the square root of both sides
+x+%2B5+=+15+
+x+=+10+
+x+%2B10+=+20+
The dimensions are 10 ft x 20 ft