Math Problem Statement
Find the area of the trapezoid
Find the area of the trapezoid.
Solution
The area of a trapezoid can be calculated using the formula:
Where:
- and are the lengths of the two parallel sides (the bases),
- is the height (the perpendicular distance between the two parallel sides).
From the image you provided:
- The top base () is 10 ft,
- The bottom base () is 12 ft,
- The height () is 6 ft.
Now, let's substitute these values into the formula:
So, the area of the trapezoid is 66 square feet.
Let me know if you'd like further clarification or if you have any more questions!
- How do I calculate the area of other shapes, such as parallelograms or triangles?
- What other formulas involve the same approach of adding two measurements and multiplying by a height or length?
- Can I apply this method to irregular quadrilaterals?
- How do I calculate the perimeter of a trapezoid?
- What happens to the area of the trapezoid if the height changes?
Tip: Always ensure the height is perpendicular to the parallel sides for the area formula to work correctly.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of Trapezoid
Trapezoid Properties
Formulas
Area = 1/2 * (b1 + b2) * h
Theorems
Trapezoid Area Theorem
Suitable Grade Level
Grades 7-9