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# 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.

INTRODUCING

### 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.

Solution:

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?

Solution:

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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