Question

6.DL and BM are the heights on sides AB and AD respectively
of parallelogram ABCD (Fig 11.24). If the area of the
parallelogram is 1470 cm’, AB = 35 cm and AD = 49 cm, find
the length of BM and DL.​
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Answer 1

Answer:

30 cm

Step-by-step explanation:

Given: Area of parallelogram=1470 cm

2

Base(AB)=35 cm and base(AD)=49 cm

Since, Area of parallelogram=base×height

⇒1470=35×DL

⇒ DL=

35

1470

⇒ DL=42 cm

Again, Area of parallelogram=base×height

⇒1470=49×BM

⇒BM=

49

1470

⇒BM=30 cm

Thus, the lengths of DL and BM are 42 cm and 30 cm respectively.

Answer 2

Given, Area = 1470 cm2, AB = 35cm and AD = 49 cm, then BM =?, DL = ?.

Considering AB = Base;

Area = Base x Height

⇒ 1470 cm2 = AB x DL

⇒ 1470 cm2 = 35cm x DL

Or, DL = 1470 ÷ 35 = 42 cm

Now considering AD = Base;

Area = Base x Height

⇒ 1470 cm2 = AD x BM

⇒ 1470 cm2 = 49 cm x BM

Or, BM = 1470 ÷ 49 = 30 cm

Hence, DL = 42 cm and BM =30cm

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