Math Problem Statement

If two sides of a parallelogram have a length of 5 cm and 6 cm, respectively, what is the length of the other two sides? show your solution

Solution

In a parallelogram, opposite sides are always equal in length. This means that the other two sides of the parallelogram will have the same lengths as the given sides.

Given:

  • One side is 5 cm
  • Another side is 6 cm

Thus, the opposite sides will also be:

  • One side of length 5 cm
  • One side of length 6 cm

Solution:

  • The parallelogram has two sides of length 5 cm and two sides of length 6 cm.

So, the lengths of all four sides of the parallelogram are:

  • 5 cm, 5 cm, 6 cm, 6 cm.

Would you like any more details or a follow-up explanation?

Here are five questions related to this topic:

  1. What are the properties of the diagonals in a parallelogram?
  2. How can we find the area of a parallelogram given its base and height?
  3. If the angles of a parallelogram are known, how do they relate to each other?
  4. How does a rectangle differ from a parallelogram?
  5. What is the formula for the perimeter of a parallelogram?

Tip: The sum of the interior angles in any parallelogram is always 360°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Properties of Parallelograms

Formulas

Opposite sides of a parallelogram are equal

Theorems

Parallelogram Theorem: Opposite sides are equal in length

Suitable Grade Level

Grades 6-8