a) False, trapezoids have 4 sides, this shape has 5.
b) True, drawing a line that makes a perfect rectangle will connect the two sides of the trapezoid, dividing it into a rectangle and a trapezoid.
c) False, using the area of a trapezoid :
A = (a+b)/2 • h, a = 6, b = 14, h = 3, the trapezoid’s area is 30 inches squared. Adding this area to the area of the rectangle ( 6 • (7.5-3) = 27 inches squared), the total area is 57 inches squared.
d) False, using the area of a trapezoid A = (a+b)/2 • h, a = 5, b = 10, h = (12-7 = 5), the area of the trapezoid is 37.5 in squared. Adding this area to the area of the rectangle ( 7 • 10 = 70 inches squared), the total area of this shape is 70 + 37.5,
which is 107.5 inches squared.