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Area of a Rhombus

Learn how to find the area of a rhombus.

Area of a Rhombus Lesson

Rhombus Area Formula

A rhombus is a parallelogram with four equal sides, a pair of opposing equal acute angles, and a pair of opposing equal obtuse angles. The formula for area of a rhombus is given as:

A = pq2

Where A is the area, p is the short diagonal, and q is the long diagonal.

The Formula for the Area of a Rhombus
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Area of a Rhombus Example Problems

Let's go through a couple of example problems together to practice finding the area of a rhombus.

Example Problem 1

Find the area of a rhombus with diagonal lengths of 5 and 10.


  1. Plugging the given dimensions into the area formula, we get:
    A = pq2
    A = (5)(10)2 = 502 = 25
  2. The area is 25.

Example Problem 2

A rhombus is measured to have an area of 72 square meters and a short diagonal of 6 meters. How long is the long diagonal in meters?


  1. Let's plug the given dimensions into the area formula and then solve for the long diagonal q.
    A = pq2
    72 = (6)q
    q = 12
  2. The long diagonal is 12 meters long.
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