SOLUTION: The length of a rectangular picture is 3 cm more than the width. The area of the picture is 88 square cm. Find the width of the picture. 11 cm 14 cm 8 cm 9 cm

Algebra ->  Rectangles -> SOLUTION: The length of a rectangular picture is 3 cm more than the width. The area of the picture is 88 square cm. Find the width of the picture. 11 cm 14 cm 8 cm 9 cm      Log On


   

Question 960778: The length of a rectangular picture is 3 cm more than the width. The area of the picture is 88 square cm. Find the width of the picture.
11 cm
14 cm
8 cm
9 cm
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The length L of a rectangular picture is 3cm more than the width W.
The area of the picture is A=88cm%5E2.
since Lis 3cm more than W, we have
L=W%2B3.....eq.1
since A=L%2AW, we have
L%2AW=88.....eq.2
substitute W%2B3 for L
%28W%2B3%29%2AW=88.....eq.2
W%5E2%2B3W=88
W%5E2%2B11W-8W-88=0
%28W%5E2%2B11W%29-%288W%2B88%29=0
W%28W%2B11%29-8%28W%2B11%29=0
%28W-8%29%28W%2B11%29=0
we need only positive solution
%28W-8%29=0=>W=8
your answer is:8cm