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Lesson: Finding the Area of a Rhombus in terms of Its Diagonals

Worksheet: Finding the Area of a Rhombus in terms of Its Diagonals • 20 Questions

Q1:

In the rhombus shown, and . What is its area?

Q2:

In the rhombus shown, and . What is its area?

Q3:

A rhombus has diagonals 25 and 11. What is its area?

  • A
  • B36
  • C275
  • D72
  • E550

Q4:

A rhombus has diagonals 23 and 11. What is its area?

  • A
  • B34
  • C253
  • D68
  • E506

Q5:

Given that and , find the area of approximated to the nearest hundredth.

Q6:

The figure shows a rhombus within a rectangle. Find the area of the rhombus to two decimal places.

Q7:

The figure shows a rhombus within a rectangle. Find the area of the rhombus to two decimal places.

Q8:

A diagonal of a rhombus has length 2, while the longer one is four times as long. What is its area?

Q9:

A diagonal of a rhombus has length 6.2, while the longer one is twice as long. What is its area?

Q10:

Given a rhombus whose diagonals’ lengths are 5.3 cm and 3.8 cm and a square whose diagonal length is 5.3 cm, which one is smaller in area?

  • Athe square
  • Bthe rhombus

Q11:

Given a rhombus whose diagonals’ lengths are 5 cm and 3.9 cm and a square whose diagonal length is 4.1 cm, which one is smaller in area?

  • Athe rhombus
  • Bthe square

Q12:

is a rhombus in which . Determine the length of and the area of .

  • A , area = 403.2 cm2
  • B , area = 537.04 cm2
  • C , area = 201.6 cm2
  • D , area = 806.4 cm2

Q13:

A rhombus and a square have the same area. If the square’s perimeter is 49.6 and one of the diagonals of the rhombus is 24, how long is the other diagonal, to two decimal places?

Q14:

A rhombus and a square have the same area. If the square’s perimeter is 44 and one of the diagonals of the rhombus is 10, how long is the other diagonal, to two decimal places?

Q15:

Determine the area of a rhombus if the length of its greater diagonal is 12 cm, and the length of its smaller diagonal equals half the length of its greater one, and approximate the answer to the nearest hundredth, if needed.

Q16:

Find the area of the rhombus given the diagonals intersect at the point where and . Give the answer to two decimal places.

Q17:

Find the area of the rhombus given the diagonals intersect at the point where and . Give the answer to two decimal places.

Q18:

Determine the difference in area between a square having a diagonal of 10 cm and a rhombus having diagonals of 2 cm and 12 cm.

Q19:

One diagonal of a rhombus is twice the length of the other diagonal. If the area of the rhombus is 81 square millimeters, what are the lengths of the diagonals?

  • A 9 mm and 18 mm
  • B 20 mm and 40 mm
  • C 18 mm and 36 mm
  • D 6 mm and 12 mm
  • E 13 mm and 26 mm

Q20:

The height of a rhombus is 4.1 cm, its base length is 6.6 cm, and the length of one of its diagonals is 4.3 cm. Find, to the nearest tenth, the length of the other diagonal.

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