SOLUTION: A picture frame is 5 inches wider than it is high. If the height and the width are both increased by 3, the area is increased by 54 in2. Find the height and width of the picture fr

Algebra ->  Human-and-algebraic-language -> SOLUTION: A picture frame is 5 inches wider than it is high. If the height and the width are both increased by 3, the area is increased by 54 in2. Find the height and width of the picture fr      Log On


   



Question 34513: A picture frame is 5 inches wider than it is high. If the height and the width are both increased by 3, the area is increased by 54 in2. Find the height and width of the picture frame. The height goes in the first box, and the width into the second box.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X(X+5)+54=(X+3)(X+5+3) OR X~2+5X+54=X~2+11X+24 OR 5X+54=11X+24 OR 30=6X OR X=5
THIS IS THE HEIGHT (5 INCHES) AND THE WIDTH IS 10 INCHES.