Area of a Rhombus

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Show your work for each problem.

1.
What is the formula for the area of a rhombus?
1. a)
2. b)
3. c)
4. d)
2.
A rhombus has diagonals of 10 cm and 4 cm. What is its area in cm²?
3.
Find the area of a rhombus with diagonals 6 cm and 8 cm.
4.
The diagonals of a rhombus always:
1. a)Never intersect
2. b)Are equal in length
3. c)Bisect each other at right angles
4. d)Are parallel to the sides
5.
Calculate the area of a rhombus with diagonals cm and cm.
6.
A rhombus has an area of 48 cm² and one diagonal of 8 cm. Find the other diagonal in cm.
7.
A rhombus has an area of 70 cm². If one diagonal is 14 cm, find the length of the other diagonal.
8.
A rhombus has diagonals of 16 cm and 12 cm. What is its area?
1. a)48 cm²
2. b)28 cm²
3. c)96 cm²
4. d)192 cm²
9.
A kite in the shape of a rhombus has diagonals of 90 cm and 60 cm. What is the area of the kite in cm²?
10.
A rhombus-shaped tile has diagonals of 8 cm and 6 cm. How many tiles are needed to cover a surface of 1200 cm²?
11.
Two rhombuses have the same area. Rhombus A has diagonals 10 cm and 8 cm. Rhombus B has one diagonal of 20 cm. What is the other diagonal of Rhombus B?
1. a)2 cm
2. b)5 cm
3. c)4 cm
4. d)8 cm
12.
A rhombus has diagonals of 18 cm and 24 cm. What is its area in cm²?
13.
A rhombus has an area of 120 cm². If the diagonals are in the ratio 3:5, find the length of the longer diagonal.
14.
The area of a rhombus is 120 cm². If one diagonal is twice as long as the other, find the length of the shorter diagonal in cm.
15.
A square (which is a special rhombus) has an area of 50 cm². Find the length of each diagonal.
16.
If the diagonals of a rhombus are doubled, by what factor does the area increase?
1. a)8 times
2. b)4 times
3. c)16 times
4. d)2 times