Math Problem Statement

Find the value of x in the following parallelogram.

Solution

The image shows a parallelogram, and the task is to find the value of xx. In a parallelogram, opposite sides are equal in length. The given equation for one side is 3x153x - 15, and the other side is 42.

To solve for xx, set the two sides equal to each other:

3x15=423x - 15 = 42

Now, solve for xx:

  1. Add 15 to both sides: 3x=42+153x = 42 + 15 3x=573x = 57

  2. Divide both sides by 3: x=573x = \frac{57}{3} x=19x = 19

Thus, the value of xx 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:

  1. How do you calculate the area of a parallelogram?
  2. What is the difference between a parallelogram and a rectangle?
  3. How do you find the perimeter of a parallelogram?
  4. What happens to the area if the sides of the parallelogram are changed?
  5. 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