Final answer:
The area of one triangle, after decomposing a parallelogram with a base of 8 cm and a height of 5 cm into two equal parts, is 20 square centimeters.
Step-by-step explanation:
The area of a parallelogram can be calculated using the formula base × height. Given a base of 8 cm and a height of 5 cm, the area of the parallelogram is 8 cm × 5 cm = 40 square centimeters. When this parallelogram is decomposed into 2 equal triangles, each triangle will cover half of the parallelogram's area. Therefore, the area of one triangle is ½ × 40 cm² = 20 square centimeters.
To find the area of one triangle, we can use the formula for the area of a triangle which is 1/2 × base × height. In this case, the base length of the parallelogram is 8 cm and the height is 5 cm. Since the parallelogram is decomposed into 2 equal triangles, we can find the area of one triangle by dividing the area of the parallelogram by 2. Let's calculate it:
Area of parallelogram = base × height = 8 cm × 5 cm = 40 cm2
Area of one triangle = Area of parallelogram / 2 = 40 cm2 / 2 = 20 cm2
Therefore, the area of one triangle is 20 square centimeters.