Question

The longer side of a parallelogram is 81 cm and the corresponding altitude is 16 cm. If the length of shorter side is 24 cm, what is the altitude corresponding to the shorter side?

• A. 36 cm
• B. 48 cm
• C. 54 cm
• D. 24 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

The shorter side of the parallelogram = 24 cm

Let, the altitude corresponding to the shorter side be $x$.
Now, Area of the parallelogram = Base x height
$\Rightarrow 81cm\times 16cm=24cm\times x$
$\Rightarrow$ $x=\frac{81\times 16}{24}$ cm
$\Rightarrow x=54cm$
$\therefore$ The altitude corresponding to the shorter side is 54 cm long.