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Find the area of the parallelogram with vertices , , , and .

A) Length × Width
B) Base × Height
C) Diagonal × Perpendicular
D) Side × Side

User Reyn
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Final answer:

The correct formula to find the area of a parallelogram is Option B) Base × Height. When expressed with the proper number of significant figures, the area of a parallelogram with given measures of base and height is precisely calculated and reflects the importance of accuracy in mathematics.

Step-by-step explanation:

The subject of this mathematics question pertains to finding the area of geometric figures, specifically a parallelogram. To find the area of a parallelogram, the correct formula is Base × Height and not Length × Width, Diagonal × Perpendicular, or Side × Side. Thus, the correct option for calculating the area of a parallelogram with given vertices would be Option B) Base × Height.

To illustrate with a relevant example, consider a triangle for which we need to find the area. Using the formula 1/2 × base × height, if the base is 1.007 m and the height is 0.665 m, we would calculate the area as 1/2 × 1.007 × 0.665 = 0.3345855 m².

When expressing this to the proper number of significant figures, considering the precision of the values provided, the area should be reported as 0.335 m², as the least number of decimal places of the given numbers is three. This example underscores the importance of precision and dimensional analysis in solving geometry problems.

User Lasitha Benaragama
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