Area of Rhombuses Worksheet
This worksheet helps 8th-grade students practice calculating the area of rhombuses using their diagonals.
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Area of Rhombuses
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Read each question carefully and calculate the area of the rhombus. Show your work.
Recall: The area of a rhombus is given by the formula A = (1/2) * d1 * d2, where d1 and d2 are the lengths of the diagonals.
1. A rhombus has diagonals measuring 10 cm and 12 cm. What is its area?
2. The diagonals of a rhombus are 8 inches and 15 inches. Find the area.
3. If a rhombus has an area of 48 square meters and one diagonal is 6 meters, the other diagonal is meters.
4. A rhombus with diagonals of 7 cm and 4 cm has an area of square centimeters.
5. Which of the following is the correct formula for the area of a rhombus?
A = s²
A = lw
A = (1/2)d₁d₂
A = bh
6. The diagonals of a rhombus are always equal in length.
True
False
7. A rhombus has a perimeter of 40 cm. If one of its diagonals is 16 cm, find the area of the rhombus. (Hint: Use the Pythagorean theorem to find the other diagonal.)