Mathematics Question and Solution
Let AB be x.
Therefore BC = 2x.
Calculating x.
Yellow area + Area triangle with height 2x and base ½(3x)sin60 = Area trapezoid with two parallel side ½(3x) and 2x, and height ½(3√(3)x).
Therefore;
30√(3)+¾*√(3)x² = (21√(3)x²)/8
30+¾x² = (21x²/8)
240+6x² = 21x²
15x² = 240
Therefore;
x = 4 unit.
Calculating Area Orange, exactly in square cm decimal form.
It will be;
Area trapezoid with two parallel side 4 unit and 6 unit, and height 6√(3) unit - Area triangle with height 6 unit and base 2.56973739837sin111.05172444 unit.
= ½*6√(3)(4+6) - ½(6*2.56973739837sin111.05172444)
= 30√(3) - 7.19467258546
= 44.7668516416 square cm.
