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Area of Rhombuses - Grade 12 Math

This worksheet focuses on calculating the area of rhombuses using various formulas, including diagonals and side length with an angle, suitable for Grade 12 mathematics.

Grade 12 Math GeometryArea of Rhombuses
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Includes

3 Short AnswerFill in the BlanksTrue / FalseMultiple Choice

Standards

CCSS.MATH.CONTENT.HSG.GPE.B.7CCSS.MATH.CONTENT.HSG.SRT.D.9
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Area of Rhombuses

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

1. Find the area of a rhombus with diagonals measuring 10 cm and 24 cm.

d₁ = 10 cmd₂ = 24 cm

2. The area of a rhombus is given by the formula A =  , where d1 and d2 are the lengths of the  .

3. A rhombus has a side length of 8 inches and one of its interior angles is 60°. Calculate its area. (Hint: Area = a² sin(C) where 'a' is side length and 'C' is an angle).

8 in8 in60°

4. All rhombuses are squares.

T

True

F

False

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

a

All four sides are equal in length.

b

Diagonals are perpendicular bisectors of each other.

c

All four angles are right angles.

d

Opposite angles are equal.

6. The area of a rhombus is 120 square units. If one diagonal is 16 units, find the length of the other diagonal.