Answer:
options B and C
Explanation:
The area of the parallelogram is given by:
Area = base x height
Area = 10mm x 8mm
Area = 80mm^2
To determine which figure has the same area as the parallelogram, we can calculate the area of each option and compare it to 80mm^2.
A. A triangle with a base of 4mm and a height of 20mm.
Area = (1/2) x base x height = (1/2) x 4mm x 20mm = 40mm^2
This option does not have the same area as the parallelogram.
B. A trapezoid with bases of 15mm and 25mm and a height of 2mm.
Area = (1/2) x (base1 + base2) x height = (1/2) x (15mm + 25mm) x 2mm = 80mm^2
This option has the same area as the parallelogram.
C. A trapezoid with bases of 6mm and 14mm and a height of 8mm
Area = (1/2) x (base1 + base2) x height = (1/2) x (6mm + 14mm) x 8mm = 80mm^2
This option has the same area as the parallelogram.
D. A rectangle with a base of 20mm and height of 8mm.
Area = base x height = 20mm x 8mm = 160mm^2
This option does not have the same area as the parallelogram.
Therefore, the figures that have the same area as the given parallelogram are options B and C, both with an area of 40mm^2.