Suppose Haruka has a special key Δ in her calculator called delta key:Rule 1: If the display shows a one-digit number, pressing delta keyΔ replaces the displayed number with twice its value.Rule 2: If the display shows a two-digit number, pressing delta keyΔ replaces the displayed number with the sum of the two digits.Suppose Haruka enters the value 1 and then presses delta keyΔ repeatedly. After pressing the Δ key for 68 times, what will be the displayed number?
ABCD is a trapezoid where BC is parallel to AD and perpendicular to AB . Kindly note that BC<AD . P is a point on AD such that CPD is an equilateral triangle. Q is a point on BC such that AQ is parallel to PC . If the area of the triangle CPD is 4√3. Find the area of the triangle ABQ.