Area of Rhombuses Worksheet

Calculate the area of rhombuses using their diagonals and base/height, and solve word problems.

Grade 9 Math GeometryArea of Rhombuses

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.G.A.1CCSS.MATH.CONTENT.8.G.A.5

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Area of Rhombuses

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Read each question carefully and calculate the area of the rhombus. Show all your work.

1. Calculate the area of a rhombus with diagonals measuring 10 cm and 12 cm.

2. A rhombus has diagonals of length 7 inches and 9 inches. What is its area?

3. The formula for the area of a rhombus using its diagonals is A = .

4. If a rhombus has an area of 48 cm² and one diagonal is 8 cm, the other diagonal must be cm.

5. Which of the following is NOT a property of a rhombus?

All sides are equal.

Diagonals are perpendicular bisectors of each other.

All angles are right angles.

Opposite angles are equal.

6. A decorative tile is in the shape of a rhombus. Its diagonals measure 15 cm and 20 cm. What is the area of the tile?

7. Mr. Smith wants to paint a rhombus-shaped sign. If the sign has a base of 2.5 meters and a height of 1.8 meters, how much area will he need to paint?

8. All squares are rhombuses.

True

False

9. The area of a rhombus can always be found by multiplying its base by its height.

True

False

10. A rhombus has an area of 96 square units. One of its diagonals is twice the length of the other. Find the lengths of both diagonals.