Question 445185
{{{(x+24)(x+32) = 1174.25}}}
{{{x^2 + 56x + 768 = 1174.25}}}
{{{x^2 + 56x -406.25 = 0}}}
*[invoke quadratic "x", 1, 56, -406.25]

So our positive answer is 6.5. This means that the length and width has been increased by 6.5 ft.

Then L = x+24
L = 6.5 + 24
L = 30.5
========
W = x+32
W = 6.5 + 32
W = 38.5

The new dimensions are 30.5 x 38.5.