Math Problem Statement
Look at the image below. A parallelogram. The segment representing the height of the parallelogram is in the middle of the figure, splitting the figure in 2 parts. The base of the parallelogram is 7 units and the height of the parallelogram is 5 units. The diagonal side length is 6 units. [5] [6] [7] What is the area of the parallelogram? square units
Solution
The area of a parallelogram can be calculated using the formula:
Given:
- Base () = 7 units
- Height () = 5 units
Substituting the values into the formula:
So, the area of the parallelogram is 35 square units.
Would you like further details or explanations? Here are five related questions:
- How would the area change if the base were increased to 10 units?
- What is the formula for the area of a parallelogram if the height is not perpendicular to the base?
- Can the diagonal length affect the area calculation directly? Why or why not?
- How would you find the area of a parallelogram if only the side lengths and one angle are given?
- What is the significance of the height in determining the area of a parallelogram?
Tip: The height in a parallelogram is always perpendicular to the base, which is crucial for calculating the area accurately.
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Math Problem Analysis
Mathematical Concepts
Geometry
Parallelogram
Area Calculation
Formulas
Area of parallelogram = Base × Height
Theorems
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Suitable Grade Level
Grades 6-8
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