Question

6. In parallelogram ABCD, AB = 20 cm. Altitudes
AY and DX are corresponding to bases BC and
AB respectively. If DX = 12 cm and AY = 15 cm,
then find BC and perimeter of ABCD.​

Answer 1

Step-by-step explanation:

We know that area of parallelogram = base × height

so, area of 1st = area of 2nd

AB × AY = BC × DX

20 × 15 = BC × 12

BC =( 20 × 15 )/12

BC = 25 cm

Perimeter of parallelogram = 2 ( AB + BC)

= 2(20+25)

= 2 × 45 = 90 cm