Question
DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD. If the area of the parallelogram is 1470 cm2, AB = 35 cm and AD = 49 cm, find the length of BM and DL. [4 MARKS]
Answer: Option A
:
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Given: area of parallelogram = 147 cm
Base (AB) = 35 cm and base (AD) = 49 cm
Since area of parallelogram = base×height
On substituting the values we get,
⇒ 1470=35×DL
⇒ DL=147035
⇒ DL = 42 cm
Again, Area of parallelogram = base×height
⇒ 1470=49×BM
⇒ BM=147049
⇒ BM = 30 cm
Thus, the lengths of DL and BM are 42 cm and 30 cm respectively.
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:
Formula: 1 Mark
Steps: 1 Mark
Each Answer: 1 Mark
Given: area of parallelogram = 147 cm
Base (AB) = 35 cm and base (AD) = 49 cm
Since area of parallelogram = base×height
On substituting the values we get,
⇒ 1470=35×DL
⇒ DL=147035
⇒ DL = 42 cm
Again, Area of parallelogram = base×height
⇒ 1470=49×BM
⇒ BM=147049
⇒ BM = 30 cm
Thus, the lengths of DL and BM are 42 cm and 30 cm respectively.
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