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Rhomboid – Definition, Examples | EDU.COM

Rhomboid – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">RhomboidRhomboid – Definition, ExamplesTable of ContentsRhomboid Shape Definition of Rhomboid

A rhomboid is a special type of parallelogram in which opposite sides are parallel and equal, but there are no right angles. Unlike a rhombus which has all sides equal, a rhomboid has only opposite sides equal and parallel. In a rhomboid, adjacent sides are not equal in length and the interior angles are not 90 degrees.

Rhomboids have specific properties that make them unique. The opposite sides of a rhomboid are equal and parallel, and opposite angles are congruent. When a diagonal divides a rhomboid, it creates two congruent triangles. The sum of all interior angles in a rhomboid is 360 degrees. Additionally, a rhomboid has no lines of symmetry but does have rotational symmetry of order 2, which means it looks the same after rotating 180 degrees.

Examples of Rhomboid Calculations Example 1: Finding the Area of a Rhomboid Problem:

What is the area of a rhomboid PQRS when the base is 9 inches and the perpendicular height is 7 inches?

Rhomboid Calculations

Step-by-step solution:

Step 1, Write down the information we know.

Base (b) = 9 inches and height (h) = 7 inches.

Step 2, Recall the formula for area of a rhomboid.

Area = base × height.

Step 3, Put the values into the formula.

Area = 9 × 7 = 63 square inches. Example 2: Finding the Height of a Rhomboid Problem:

If the area of a rhomboid is 240 sq. units and the base is 12 units then find its height.

Rhomboid Calculations

Step-by-step solution:

Step 1, Write down what we know. Area (AAA) = 240 square units and base (bbb) = 12 units.

Step 2, Recall the formula for the area of a rhomboid. Area = base × height, which means A=b×hA = b × hA=b×h.

Step 3, Rewrite the formula to solve for height (hhh). h=Abh = \frac{A}{b}h=bA​

Step 4, Substitute the values and solve. h=24012=20h = \frac{240}{12} = 20h=12240​=20 units

Step 5, The height of the rhomboid is 20 units.

Example 3: Finding the Perimeter of a Rhomboid Problem:

Find the perimeter of a rhomboid whose adjacent sides are 6 units and 9 units long.

Rhomboid Calculations

Step-by-step solution:

Step 1, Write down what we know about the sides. Side a = 6 units and Side b = 9 units.

Step 2, Recall that in a rhomboid, opposite sides are equal. So we have two sides of length 6 units and two sides of length 9 units.

Step 3, Use the perimeter formula for a rhomboid.

Perimeter = 2(a + b)

Step 4, Substitute the values into the formula.

Perimeter = 2(6 + 9) = 2(15) = 30 units

Step 5, The perimeter of the rhomboid is 30 units.

Comments(7)GGolferHannahNovember 5, 2025I've been trying to explain rhomboids to my students. This clear def. & examples made it so much easier! Thanks for the great resource.

AAnalystRudyNovember 5, 2025I've used this rhomboid def for my kid's study. It's clear & the examples help a lot. Great resource for learning!

NNurseBethNovember 4, 2025This clear rhomboid def helped my students grasp the concept easily. It's a great resource for hands - on geometry learning!

MMsTraveler78September 17, 2025I used the rhomboid definition and examples from this page to help my kids with their geometry homework. The step-by-step solutions made it super easy to explain—great resource for parents!

MCMs. CarterSeptember 10, 2025I used this rhomboid definition and examples to help my kids with their geometry homework—it made explaining the concept so much easier! The step-by-step solutions are a lifesaver.

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