Question

How is a rhombus related to a parallelogram? How does finding the area of a rhombus compare to finding the area of a parallelogram?

Answer 1

Every Rhombus is a parallelogram but every parallelogram is not a rhombus. The area is base multiply by height in both the figures but rhombus has one more formula for finding area i.e 1$\frac{1}{2}$ ×d1×d2

Explanation:

Rhombus is a quadrilateral which means it is a four-sided figure. It is a parallelogram which means its opposite sides a parallel. All the sides of a rhombus are equal but all the four sides of a parallelogram are not equal. So we can say that every rhombus is a parallelogram but every parallelogram is not a rhombus.

The area of a parallelogram is B×H i.e base is multiplied by the height. Rhombus being a parallelogram also has the same method of determining area i.e B×H but with that, it has one more formula for finding its area using diagonals

$\frac{1}{2}$ ×d1×d2. Here d1 and d2 stands for diagonal1 and diagonal2