Question

Find the area of a rhombus in which

(i) each side = 12 cm and height = 7.5 cm.
(ii) each side = 2 dm and height = 12.6 cm.

Answer 1

A rhombus is a special type of a parallelogram.

The area of a parallelogram is given by the product of its base and height.
∴ Area of the given rhombus = Base × Height
(i) Area of the rhombus = 12 cm $\times$ 7.5 cm = 90 cm²

(ii) Base = 2 dm = (2 $\times$ 10) = 20 cm [since 1 dm = 10 cm]
Height = 12.6 cm
∴ Area of the rhombus = 20 cm $\times$ 12.6 cm = 252 cm²