Question

The adjacnt side of a parallelogram are 15cm 8 CM. If the distance between the Longer Sides is4cm, find the distance between the shroter sides.

Answer 1

ANSWER:-

Given:

The adjacent side of parallelogram are 15cm & 8cm.If the distance between the longer side is 4cm.

To find:

The distance between the shorter side.

Solution:

The adjacent side AD is of length 8cm & the corresponding altitude is CF.

We know that, area of parallelogram;

=) Base × Height

⚫We have two altitudes & two corresponding bases.

Therefore,

=) AD × CF = AB × AE

=) 8cm × CF = 15cm × 4cm

$= > CF = \frac{15 cm\times 4cm}{8cm} \\ \\ = > CF = \frac{15cm}{2} \\ \\ = > CF = 7.5cm$

Thus,

The distance between the shorter sides is 7.5cm.

Hope it helps ☺️