Question

19. The length of one side of a parallelogram is 180 cm and the corresponding height is 25 cm. If the other height of the parallelogram is 90 cm, then the length of the corresponding side is​

Answer 1

Answer:

50cm

Step-by-step explanation:

Let the parallelogram be ABCD and AB = 180cm, AE height= 25cm , The other height DF = 90cm.

Area of parallelogram = Base × Height

= AB × AE = 180 × 25 (1)

Area of parallelogram can also be written as

= AD × DF = AD × 90 (2)

From (1) and (2)

180×25 = AD×90

=> AD = 180×25/90 = 50cm

Hence the length of the side corresponding to the other height is 50cm