The base of a parallelogram is 8 cm and the height is 12 cm. What is the area of the parallelogram in m²?
A. 0.0096 m²
B. 96 m²
C. 0.96 m²
D. 0.96 m²
E. 9600 m²
Answer (2)
Calculate the area of the parallelogram in cm²: A re a = 8 cm × 12 cm = 96 cm 2 .
Convert the area from cm² to m² using the conversion factor 1 m 2 = 10000 cm 2 .
Divide the area in cm² by 10000 to get the area in m²: A re a = 10000 96 m 2 .
The area of the parallelogram is 0.0096 m 2 .
Explanation
Problem Analysis We are given a parallelogram with a base of 8 cm and a height of 12 cm. We need to find the area of the parallelogram in square meters.
Calculate Area in cm² First, we calculate the area of the parallelogram in square centimeters (cm²) using the formula: A re a = ba se × h e i g h t A re a = 8 cm × 12 cm A re a = 96 cm 2
Convert Area to m² Next, we convert the area from cm² to m². Since 1 m = 100 cm, then 1 m² = (100 cm)² = 10000 cm². Therefore, to convert from cm² to m², we divide by 10000: A re a in m 2 = 10000 A re a in cm 2 A re a in m 2 = 10000 96 cm 2 A re a in m 2 = 0.0096 m 2
Final Answer The area of the parallelogram is 0.0096 m².
Examples
Parallelograms are commonly encountered in architecture and construction. For instance, when designing a slanted roof or a brick wall with a repeating parallelogram pattern, calculating the area is crucial for estimating material quantities and costs. Knowing the area helps in determining the amount of roofing material needed or the number of bricks required to cover the surface, ensuring accurate budgeting and efficient resource allocation.
The area of the parallelogram is calculated as 0.0096 m² by first finding the area in cm² and then converting it to m². The calculated area is 96 cm², which converts to 0.0096 m². Hence, the correct answer is A. 0.0096 m².
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