Math Problem Statement
Solution
The image shows a parallelogram, and the task is to find the value of . In a parallelogram, opposite sides are equal in length. The given equation for one side is , and the other side is 42.
To solve for , set the two sides equal to each other:
Now, solve for :
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Add 15 to both sides:
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Divide both sides by 3:
Thus, the value of is 19.
Would you like more details on how I arrived at this solution, or do you have any other questions about parallelograms?
Here are some related questions to explore further:
- How do you calculate the area of a parallelogram?
- What is the difference between a parallelogram and a rectangle?
- How do you find the perimeter of a parallelogram?
- What happens to the area if the sides of the parallelogram are changed?
- What is the formula for the diagonal length of a parallelogram?
Tip: Always remember that in a parallelogram, opposite sides are not only parallel but also equal in length.
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Math Problem Analysis
Mathematical Concepts
Algebra
Properties of Parallelograms
Linear Equations
Formulas
x = (57 / 3)
Theorems
In a parallelogram, opposite sides are equal in length.
Suitable Grade Level
Grades 7-9