Area of a Rhombus Worksheet
Calculate the area of rhombuses using their diagonals and side lengths, including problems involving algebraic expressions.
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Area of a Rhombus
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Read each question carefully and calculate the area of the rhombus. Show your work where necessary.
1. Find the area of a rhombus with diagonals measuring 12 cm and 16 cm.
2. A rhombus has diagonals of length 7 inches and 10 inches. What is its area?
3. The area of a rhombus is 96 square meters. If one diagonal is 16 meters, find the length of the other diagonal.
1. The formula for the area of a rhombus using its diagonals is Area = .
2. If the diagonals of a rhombus are perpendicular, they each other.
3. A rhombus is a quadrilateral with all four sides in length.
1. Which of the following is NOT a property of a rhombus?
All sides are equal.
Diagonals are perpendicular.
All angles are right angles.
Opposite angles are equal.
2. If the area of a rhombus is 30 cm² and one diagonal is 5 cm, what is the length of the other diagonal?
6 cm
10 cm
12 cm
15 cm
1. The diagonals of a rhombus are (4x + 2) units and (6x - 2) units. If the area of the rhombus is 80 square units, find the value of x.
2. A rhombus has an area of 120 square inches. One diagonal is twice the length of the other. Find the lengths of both diagonals.
Consider the rhombus ABCD with diagonals AC and BD.
1. In the rhombus above, if AC = 20 units and BD = 15 units, calculate the area of the rhombus.