Q.6 DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD. If the area of the parallelogram is 1470\( cm^2 \), AB = 35 cm and AD = 49 cm, find the length of BM and DL.

Area of the parallelogram ABCD = base × height

= AB × DL= 1470 \(cm^ 2 \)

Or, 35 cm × DL = 1470 \(cm^ 2 \)

Or, DL= 1470/ 35

\(\therefore \) DL = 42 cm

Area of the parallelogram ABCD = AD × BM

1470 \( cm^2 \) = 49 cm × BM

Or, 1470/ 49 = BM

\(\therefore \) BM = 30 cm

Hence, BM = 30 cm and DL = 42 cm