Question

The longer side of a parallelogram is 54cm and the corresponding altitude is 16cm. If the altitude corresponding to the shorter side is 24cm,find the length of shorter side

Answer 1

Given :

The longer side of a parallelogram is 54cm and the corresponding altitude is 16cm.

To Find:

If the altitude corresponding to the shorter side is 24cm,find the length of shorter side

Solution:

The longer side of a parallelogram is 54cm

Corresponding height of longer length = 16 cm

Area of parallelogram =$Base \times Height = 54 \times 16 = 864 cm^2$

Let the shorter side of parallelogram be x

Height corresponding to shorter side = 24 cm

Area of parallelogram = $24 \times x = 24x$

So, 24x = 864

$x=\frac{864}{24}$

x= 36

Hence The length of shorter side is 36 cm

Answer 2

Answer:

36

Step-by-step explanation:

the length of the shorter side is 36 cm