Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Shaded area coordinates are;
Coordinate X is;
X(½, (9/4))
Coordinate Y is;
Y((-3/2), (17/4))
Coordinate Z is;
Z((5/2), (33/4))
Therefore shaded area exactly in square units is;
Area trapezoid with parallel side (17/4) unity and (33/4) units, and height 4 units - Area trapezoid with parallel side (17/4) units and (9/4) units, and height 2 units - Area under the curve at coordinate (½, 0) and ((5/2), 0)
= ½*4((17/4)+(33/4)) - ½*2((17/4)+(9/4)) - (55/6)
= 25 - (13/2) - (55/6)
= (150-39-55)/6
= (150-94)/6
= 56/6
= 28/3 square units.
