Question

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 cm2, AB = 35 cm and AD = 49 cm, find the length of BM and DL.​

Answer 1

$\huge\mathfrak{\underline{Correct\: question}}$

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 cm2, AB = 35 cm and AD = 49 cm, find the length of BM and DL.

_____________________________

Given that:-

• DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD

• Area of parallelogram = 1470cm^2

• AB = 35cm and AD =49cm

To find:-

• Length of BM and DL

Answer:-

$\bold{STEP-BY-STEP-EXPLANATION}$

From the question it is given that,

Area of the parallelogram = 1470 cm^2

AB = 35 cm

AD = 49 cm

We know that,

Area of the parallelogram = $\boxed{base × height}$

1470 = AB × BM

1470 = 35 × DL

DL = 1470/35

DL = 42 cm

And,

Area of the parallelogram = $\boxed{base × height}$

1470 = AD × BM

1470 = 49 × BM

BM = 1470/49

BM = 30 cm

Therefore, DL = 42cm and BM = 30cm.

#BAL

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Answer 2

Answer:

From the question it is given that,

Area of the parallelogram = 1470 cm2

AB = 35 cm

1470 = AD × BM

1470 = 49 × BM

BM = 1470/49

BM = 30 cm