Math Problem Statement

Find the length of the two missing sides in the parallelogram below.

Solution

In this parallelogram, we are provided with two side lengths: 50 and 25. Since a parallelogram has opposite sides of equal length, we know that the two missing sides, xx and yy, correspond to these values. Specifically:

  • xx is opposite to the side labeled 50.
  • yy is opposite to the side labeled 25.

Thus, by the properties of parallelograms:

  • x=50x = 50
  • y=25y = 25

So the values are: x=50,y=25x = 50, \quad y = 25

Would you like more details on parallelogram properties, or any further explanation?

Relative Questions:

  1. What are the properties of a parallelogram?
  2. How can you calculate the area of a parallelogram?
  3. What is the difference between a parallelogram and a rectangle?
  4. Can parallelograms be inscribed in a circle? Why or why not?
  5. How do diagonals behave in a parallelogram?

Tip:

Remember, the opposite sides of a parallelogram are always equal in length, and the opposite angles are congruent.

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Math Problem Analysis

Mathematical Concepts

Geometry
Parallelograms
Properties of Shapes

Formulas

Opposite sides of a parallelogram are equal

Theorems

Parallelogram Theorem

Suitable Grade Level

Grade 6-8