Come on England (Topical)!?

Question

Anyone who lives in England will have no problem with identifying the flag of St. George whether they like football or not. But for those who may not be familiar, it is a white rectangle with a red cross on it. The red lines of the cross run horizontally and vertically about their respective centres (not across the corners).

So why am I telling you this? Ok, let's suppose we have a St. George flag measuring 4' x 3' and that the area of red (the cross) is the same as the area of white (the background).

What would be the width of the band making up the cross, assuming that the width of the band is the same, both vertically and horizontally?

Answer 1

Let the breadth of each red rectangle be x

So, area of red portion = 4x + x(3-x)

So, area of white portion is (4-x)(3-x)

So, 4x+x(3-x) = (4-x)(3-x)
or 4x + 3x -3x^2 = x^2 -7x+12
or 4x^2-14x+12 = 0
or 2x^2-7x+6 = 0
or 2x^2-6x-x+6=0
or(2x-1)(x-3)=0

x=1/2 or 0.5 foot is the reasonable answer.