Question

Two adjacent sides of a parallelogram are 32cm and 20cm . If the distance between the longer sides is 15cm , find the distance between the shorter sides​

Answer 1

$\huge\bf\boxed{\boxed{\underline{\red{Question!!}}}}$

Two adjacent sides of a parallelogram are 32cm and 20cm . If the distance between the longer sides is 15cm , find the distance between the shorter sides.

$\huge\bf\boxed{\boxed{\underline{\red{Answer!!}}}}$

$\huge\bold{Given}$

Two adjacent sides of a parallelogram are

AB = 32cm

BC = 20cm

If the distance between the longer sides is

DE = 15cm

$\huge\bold{To \:Find}$

the distance between the shorter sides

Now :

$\mathrm\blue{Let \:the \:shorter \:side \:be \:DF = x}$

$\mathrm\blue{We \:know \:the \:formula}$

${\green{\overline{\pink{\underline{\blue{\boxed{\green{\mathtt{Area \:of \:parallelogram = Base × Height}}}}}}}}}$

Here Consider AB as base

$\mathrm\orange{Base =32cm}$

$\mathrm\orange{Height =15cm}$

$\mathrm\orange{➪A = AB×DE}$

$\mathrm\orange{➪ A = 32cm × 15cm}$

$\mathrm\orange{➪ A = 480cm²}$ -----(1)

Now:

Consider BC as Base

$\mathrm\pink{➪ A = BC × DF}$

$\mathrm\pink{➪ A = 20 × X}$

$\mathrm\pink{➪ A = 20x}$ --------(2)

Now substitute both eq(1) and eq(2)

$\mathrm\purple{480 = 20x}$

$\mathrm\purple{\frac{480}{20} = x}$

$\mathrm\purple{24 = x}$

So the distance between the shorter sides 24cm

$\huge\bold{refer \:the \:attachment \:for \:the \:daigram}$