Question

The adjacent sides of a parallelogram are 35 cm and 25 cm in length. If the distance between

the longer sides is 10 cm, find the distance between the shorter sides.​

Answer 1

$\huge\red{\bf{\underline{Question:-}}}$

The adjacent sides of a parallelogram are 35 cm and 25 cm in length. If the distance between the longer sides is 10 cm, find the distance between the shorter sides.

$\huge\red{\bf{\underline{Solution:-}}}$

Area of parallelogram:-

=> Base × Height

=> 35 × 10

=> $\huge\boxed{350}$

Also,

Area = Base × Height

350 = 25 × Height (distance between shorter sides).

Height = ${\frac{350}{25}}$

Height = $\small\huge\boxed{14\: cm}$

Which is the required answer.

${\huge{\underline{\small{\mathbb{\blue{HOPE\:HELP\:U\:BUDDY :)}}}}}}$

${\huge{\underline{\small{\mathbb{\pink{</p><p>~cαndчflσѕѕ♡ :)}}}}}}$

Answer 2

Answer:

Plz follow me for more great answers.........

Step-by-step explanation:

There is of course a mathematical approach to this but in this case you’ve given us enough information to go forward.

Consider this, in a standard rectangle, the distance between the long sides is always the length of the short side (and vice versa). The only way to affect this is by squashing the rectangle over to one side creating a parallelogram. By bringing the longer sides together so that the distance is 15cm, we can deduce that the short sides are the ones on an angle.

The distance between any given point on the short side and it’s corresponding point on the other short side must therefore remain at 35cm as creating the parallelogram does not alter the length of the sides at all. The short sides do not move closer or farther away from eachother as both sides will move synchronously as the angle steepens

Let distance between shorter sides be h.

Area of parallelogram = base * height = 35 * 15

= 25 *h

h = 35 * 15 / 25 = 21

Hence, 21 is distance between shorter sides

HOPE THIS HELPS U ✌✌