The perimeter of a parallelogram is 70cm, and the distance between two groups of opposite sides is 10cm and 15cm

The perimeter of a parallelogram is 70cm, and the distance between two groups of opposite sides is 10cm and 15cm


Let a parallelogram ABCD have a side length x cm, then its adjacent side BC length is (35-x) cm,
The distance between the two opposite sides is 10 cm (AB and CD) and 15 cm (AD and BC),
Extend DC to P, make be ⊥ DP to e, make CF ⊥ straight line ad to F, so that:
∠BEC=∠CFD=90,∠BCE=90-∠DCF=∠D,
∴△BCE∽△CDF,
∴BC/BE=CD/CF,
That is, X / 10 = (35-x) / 15,
∴x=14,
The length of each side of parallelogram is 14cm, 21cm, 14cm, 21cm



The perimeter of the parallelogram is 66 cm, one side is 15 cm, and how long are the other three sides?


The opposite sides of the parallelogram are equal, so the other side is 15cm 66-30 = 36, and the remaining two sides are 18cm