Geometry

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# Area of a Rhombus

## 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 = pq/2**

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

### Example Problems

**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 = pq/2

A = (5)(10)/2 = 50/2 = 25

2.) **The area is 25.**

**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 = pq/2

72 = (6)q

q = 12

2.) **The long diagonal is 12 meters long.**

Result :

Worksheet 1

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Cheat sheet

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