Question

if parallel sides of parallelogram is 2cm apart and sum is 10cm then its area is​

Answer 1

Answer:

10 cm²

Step-by-step explanation:

Given,

distance between parallel sides = 2 cm,

ie height (h) = 2 cm

sum of parallel sides = 10 cm

Let the length of one of the parallel sides be 'x'

Then the other parallel side will also be 'x' cm long, since opp. sides of a parallelogram are equal and parallel.

x + x = 10 cm ( Given, sum of parallel sides = 10 cm)

2x = 10 cm

x = 5 cm

Therefore, one of the sides of the sides of the parallelogram measures 5 cm.

ie, base (b) of the parallelogram = 5 cm

(Ar) parallelogram = bh

= 5 X 2

= 10 cm²

Therefore, the area of the parallelogram is 10 cm²