Question 253476
I have a rectangle 9.75" X 6.5" whose area I need to increase by 11%.
 How do I figure this increase such that I will end up with the measurements for the sides of the new larger rectangle?
:
Find the area you have now: 9.75 * 6.5 = 63.375
Find the increased area: 1.11 * 63.75 = 70.34625
:
Increase each dimension by x
(x + 9.75)*(x + 6.5) = 70.34625
FOIL
x^2 + 6.5x + 9.75x + 63.375 = 70.34625
x^2 + 16.25x + 63.75 - 70.34625 = 0
:
A quadratic equation
x^2 + 16.25x - 6.97125 = 0
:
Solve for x using the quadratic formula:
x = .41823 ~ .42 inches, add to each dimension (10.17 by 6.92)
;
:
Check this: 10.17 * 6.92 ~ 70.4