<PRE><B>Question 944289</B>
The length of a rectangle is 7 inches and the width is 4 inches. If both the length and width are increased by equal amounts, the area is increased by 42 square inches. Find the length and width of the larger rectangle.
--------
Area = length*width
Original Area = L*W
-----
Larger Area = (7+x)(4+x) = 7*4+42
----
28+11x+x^2 = 28+42
----
x^2 + 11x + 28 = 70
-----------

x^2 + 11x - 42 = 0
------------
(x-3)(x+14) = 0
---
Positive solution::
x = 3
-----
Ans:
length = 7+3 = 10
width = 4+3 = 7
----------------------
Cheers,
Stan H.
------------------

 </PRE>