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