# Lesson Worksheet: Area of a Rhombus Mathematics

In this worksheet, we will practice finding the area of a rhombus using the length of its diagonals.

**Q1: **

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

**Q2: **

Determine the area of the rhombus (unit length ).

**Q3: **

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?

- A20 mm and 40 mm
- B6 mm and 12 mm
- C18 mm and 36 mm
- D9 mm and 18 mm
- E13 mm and 26 mm

**Q4: **

In the rhombus , the side length is 8.5 cm, and the diagonal lengths are 13 cm and 11 cm. Find the length of . Round your answer to the nearest tenth.

**Q5: **

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

**Q6: **

Find the area of a square whose diagonal is 9 cm.

- A18 cm
^{2} - B cm
^{2} - C36 cm
^{2} - D81 cm
^{2}

**Q7: **

Given that the area of each square on the chessboard is 81 cm^{2}, find the diagonal length of the chessboard.

- A72 cm
- B cm
- C5,184 cm
- D648 cm
- E cm

**Q8: **

A triangle has base 11 and height 11. A square has diagonal 17. What is the difference in their areas?

**Q9: **

A rhombus has the same area as a square with a 4 cm diagonal. If one of the diagonals is 2 cm in length, find the length of the other diagonal.

**Q10: **

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.