Question

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?

• A. 36 cm
• B. 48 cm
• C. 54 cm
• D. 68 cm

Answer 1

The correct option is C 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 parallelogram
= longer side x altitude corresponding to longer side
= shorter side x altitude corresponding to shorter side

$81\times 16=24\times x$

$x=\frac{81\times 16}{24}$

$x=54cm$
So, the altitude corresponding to the shorter side is 54 cm long.