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

Answer 1

$\sf{\underline{\overline{\pink{Given :-}}}}$

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

$\sf{\underline{\overline{\orange{To \:find :-}}}}$

Length of BM and DL

$\sf{\underline{\overline{\red{Solution :-}}}}$

From the question it is given that,

Area of the parallelogram = 1470 cm²

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

$\red\therefore$ DL = 42cm and BM = 30cm

Answer 2

Answer:

$\huge\tt{\underline{Question⤵}}$

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.

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Answer⤵️

Given that:-

• DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD
• Area of parallelogram = 1470cm²
• AB = 35cm and AD =49cm

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To find:-

Length of BM and DL

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From the question it is given that,

Area of the parallelogram = 1470 cm^2²

AB = 35 cm

AD = 49 cm

We know that,

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

1470 = AB × BM

1470 = 35 × DL

DL = 1470/35

DL = 42 cm

And,

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

1470 = AD × BM

1470 = 49 × BM

BM = 1470/49

BM = 30 cm

• Therefore, DL = 42cm and BM = 30cm.

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