SOLUTION: An architect has allocated a rectangular space of 465ft^2 for a square dining room and a 16ft wide kitchen. Find both the width of the square dining room and the length of the enti

Algebra ->  Surface-area -> SOLUTION: An architect has allocated a rectangular space of 465ft^2 for a square dining room and a 16ft wide kitchen. Find both the width of the square dining room and the length of the enti      Log On


   



Question 855395: An architect has allocated a rectangular space of 465ft^2 for a square dining room and a 16ft wide kitchen. Find both the width of the square dining room and the length of the entire rectangular space.
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
A = L * W
What do we know from the problem?
It's one rectangle whose square footage = 465
The kitchen has a W of 16'
The dining area has the same length as width.
The *easiest* way to do this is by finding the likely factors of 465
15, 31
We don't really need to go farther, do we?
A 15 * 15 dining are + 15 * 16 kitchen = 15 * 31 room.