1) let side of rectangle a, b
Equation of diagonal
y = -(b + 4)(x - a - 3)/(a + 3)
Point (a, b) will be on this line
So ab = 12 (Blue area)
Area of bigger triangle = (a + 3)(6/a + 4)
12 + (2a + 18/a)
AM ≥ GM (to minimise)
12 + 12
24
Equation of diagonal
y = -(b + 4)(x - a - 3)/(a + 3)
Point (a, b) will be on this line
So ab = 12 (Blue area)
Area of bigger triangle = (a + 3)(6/a + 4)
12 + (2a + 18/a)
AM ≥ GM (to minimise)
12 + 12
24
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