Question

the adjacent sides of a parallelogram are 4 cm and 12 cm . the distance between the longer side is 6 cm . the distance between the shorter sides will be​

Answer 1

Answer:

2 cm is the perfect answer

Answer 2

Given :

   The adjacent sides of parallelogram are 4 cm and 12 cm in length.

   The distance between longer sides is 6 cm.

To find :

    The distance between shorter sides =  ?

Step-by-step explanation:

     In a Parallelogram,opposite sides are parallel and equal.

     The adjacent sides of parallelogram are 4 cm and 12 cm in length.So,

                 The longer side, L = 12 cm

                 The shorter side, l = 4 cm

      The distance between longer sides is 6 cm.

      Now find the area of the  paralleiogram.

      In this,The base is the longer side i.e, 12 cm and the height is the distance between the longer sides i.e, 6 cm.

      Therefore,

             Area of Parallelogram A =  Base $\times$ Height

                         Base b = 12 cm

                         Height h = 6 cm

             Area = 12 $\times$ 6 =  72 $cm^{2}$

      If we consider the base as the shorter side, i.e, 4 cm and height to be the distnce between the shorter sides, i.e, h.

                 Area of Parallelogram A =  Base $\times$ Height

                Now,  Base b = 4 cm

                         Height h = h

                        Area = 4 $\times$ h

        We know that both the areas are equal because they are the area of the same parallelogram.

                       Area = 4 $\times$ h

                       72      = 4 $\times$ h

                        h       = 72 $\div$ 4

                        h       = 18 cm

         Therefore,     The distance between shorter sides is 18 cm.