Area of a rhombus
Answers are for parents and teachers.
1
The diagonals of a rhombus are 18 cm and 20 cm. What is its area (cm²)?
180
2
A rhombus has side 15 cm and altitude 8 cm. What is its area (cm²)?
120
3
A rhombus has area 150 cm² and altitude 10 cm. How long is its side (cm)?
15
4
A rhombus has area 144 cm² and one diagonal 24 cm. How long is the other diagonal (cm)?
12
5
Explain in your own words where the diagonal formula for the area of a rhombus comes from.
The diagonals split the rhombus into four congruent right triangles; their areas add up to d₁ · d₂ : 2.