Math Problem Statement
A=1/2h(b+b); A=44, B=4, B=7
Solution
To solve for using the formula , where:
- is the area of a trapezoid,
- is the height,
- and are the lengths of the parallel sides (bases).
We are given:
- ,
- ,
- .
Let's substitute these values into the formula:
Now solve for :
Multiply both sides by 2 to get rid of the fraction:
Now divide by 11:
Thus, the height is 8 units.
Would you like a more detailed explanation or have any other questions?
Here are 5 related questions you can explore:
- How do you calculate the area of a triangle using a similar formula?
- How does the trapezoid area formula change when the bases are equal?
- Can you find the perimeter of the trapezoid with given side lengths?
- How does the area formula for trapezoids differ from that of parallelograms?
- What are real-world applications of trapezoid area calculations?
Tip: Always check if the dimensions are in consistent units when solving geometric problems.
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Math Problem Analysis
Mathematical Concepts
Geometry
Trapezoid Area Formula
Algebra
Formulas
A = 1/2h(b1 + b2)
Theorems
-
Suitable Grade Level
Grades 6-8