Math Problem Statement
Solution
To solve the problem, let’s calculate:
Part (a): Area of the quadrilateral
The shape appears to be a parallelogram, so the formula for the area is:
Here:
- Base () = 17 in.
- Height () = 4 in.
Part (b): Perimeter of the quadrilateral
The formula for the perimeter of a parallelogram is:
Here:
- Base () = 17 in.
- Side length () = 9 in.
Final Results:
- Area:
- Perimeter:
Would you like a detailed explanation of any of the steps?
Related Questions:
- How is the area of a parallelogram different from other quadrilaterals?
- Can the height of a parallelogram be located outside the shape?
- What is the formula for the area of other quadrilaterals like trapezoids or rectangles?
- How does changing the height affect the area of a parallelogram?
- Why is the perimeter calculated using twice the sum of the base and side?
Tip:
Always ensure the height is measured perpendicular to the base for accurate area calculations.
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Math Problem Analysis
Mathematical Concepts
Geometry
Quadrilaterals
Area and Perimeter
Formulas
Area of a parallelogram = Base × Height
Perimeter of a parallelogram = 2 × (Base + Side Length)
Theorems
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Suitable Grade Level
Grades 6-8
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