Answer = Red portion
Firstly, find out the area of the red portion (the area around the centre).
The three figures around the centre are trapeziums, so use the trapezium area equation.
a + b / 2 x h
4.5 + 5 = 9.5
9.5 / 2 = 4.75
4.75 x 1.5 = 7.125
As there are three trapeziums, times the area by 3.
7.125 x 3 = 21.375
Area of red portion = 21.375
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Next, find out the area of the blue portion.
As the blue portion is in the centre and the figure at the centre is an equilateral triangle, use the equilateral triangle area equation.
root 3 / 4 x a^2
root 3 / 4 x 5^2 = 10.83 (rounded to 2 d.p)
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Area of red portion = 21.375
Area of blue portion = 10.83
This means that the red portion has a greater area.
Hope this helps :)
