Question

error analysis a teacher asked a student to find the area of this parallelogram. the student said the area is 29 cm². what is the correct area? what error did the student make? the correct area is \\(\square\\) cm².

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area of a parallelogram is given by the formula \( A = base \times height \), where the base and height are perpendicular to each other.

Step2: Identify the base and the corresponding height

From the diagram, the base of the parallelogram is \( 32 \, \text{cm} \) and the corresponding height (the perpendicular distance from the base to the opposite side) is \( 6 \, \text{cm} \).

Step3: Calculate the area

Using the formula \( A = base \times height \), we substitute the values of the base and height. So, \( A = 32 \times 6 \).
\( 32\times6 = 192 \)

Answer:

The correct area is \( \boxed{192} \, \text{cm}^2 \). The student likely used an incorrect base - height pair (maybe used the slant side and an incorrect length for calculation) instead of the correct base and its corresponding perpendicular height.