Question

The length and breadth of a rectangular piece of land are in the ratio of 5:3. The owner spent rs 3000 for surrounding it from all sides at rs 7.50 per metre. The difference between its length and breadth is

Answer 1

Answer:

$\huge{\boxed{\boxed{\sf{DIFFERENCE=6\sqrt{\frac{5}{3}}}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

□Let length be = 5x

□breadth=3x

□Total money spent=3000rupees

$at \: first \: we \: find \: area \: of \: rectangle \\ area = \frac{3000}{7.5} \\ area = 400cm^{2} \\ again \\ > > according \: to \: given \: question \\ area \: of \: rectangle = 400 {cm}^{2} \\\\ l \times b = 400 \\ = )5x \times 3x = 400 \\ = )15 {x}^{2} = 400 \\ = )15 {x}^{2} = 400 \\ = ) {x}^{2} = \frac{400}{15 } \\ = ) {x}^{2} = \frac{80}{3} \\ = )x = \sqrt{ \frac{80}{3} } \\ = )x = 4\sqrt{ \frac{5}{3} } \\ \\ length = 5x \\ = )5 \times 4\sqrt{ \frac{5}{ 3} } = 20 \sqrt{ \frac{5}{3} } cm \\ \\ breadth = 3x \\ = )3 \times 4\sqrt{ \frac{5}{3} } = 12 \sqrt{ \frac{5}{3} } cm \\ \\ > > difference = l - b \\ = )20 \sqrt{ \frac{5}{3} } - 12 \sqrt{ \frac{5}{3} } \\ = )6 \sqrt{ \frac{5}{3} } cm$

$\huge{\boxed{\boxed{\sf{DIFFERENCE=6\sqrt{\frac{5}{3}}}}}}$

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