Mathematics Question and Solution
Let the square side be 3 units.
Area of the plane shape is;
Area square with side 3 units + Area triangle with height 3 units and base ½(3) units.
= 3²+(½*½(3)*3)
= 9+(9/4)
= 45/4 space units.
Shaded area is;
Area trapezoid with two parallel side 3 units and ½(3) units, and height 3 units.
= ½*3*(3+(3/2))
= (3/2)*(9/2)
= 27/4 space units.
Therefore;
Shaded area fraction is;
Area trapezoid ÷ Area of the plane shape.
(27/4) ÷ (45/4)
= 27/45
= 3/5
