Q: The base of a large parallelogram is 40 cm and the height is 20 cm. Connect the midpoints of the sides of this parallelogram in turn to get a small parallelogram. Find the area of this small parallelogram.

Solution:

40×20÷2=400 (square centimeter)

The area of this small parallelogram is 400 square centimeters.

The first method:

The midpoints of each side of the parallelogram are connected in turn to get a diamond, and then a vertical line is drawn in the middle to get two equal triangles:

Namely: 2 times (base times height divided by 2) = 20cm (base) * 20cm (height)/2 = 2 * (20cm * 20cm/2) = 2 * 200cm2 = 400cm2.

I.e. the graphics area

=

400 square centimeters, (circumference

=

89.4427 cm)

The second method:

Imagine a parallel four-sided row as a rectangle (that is, 40cm long and 20cm high), and subtract the area of four connected small triangles from the total area to get the required area.

40×20=800,800-4×(20× 10)=800-400=400