The longer side of a parallelogram is 81 cm and the corresponding altitude is 16 cm. If the length of the shorter side is 24 cm, what is the altitude corresponding to the shorter side?
54 cm
Given, longer side of the parallelogram = 81 cm
altitude corresponding to the longer side = 16 cm
shorter side of the parallelogram = 24 cm
Let, the altitude corresponding to the shorter side be x.
Now, Area of the parallelogram = Longer side × altitude corresponding to longer side = Shorter side × altitude corresponding to shorter side
⇒81 cm×16 cm=24 cm×x
⇒ x=81×1624 cm
⇒x=54 cm
∴ The altitude corresponding to the shorter side is 54 cm long.