Question

The length and breadth of a rectangular piece of a land are in a ratio 5:3. The owner spent Rs. 6000 for surrounding it from all sides at Rs.7.50 per metre. The difference between its length and breadth is

A) 50 metres B) 100 metres C) 150 metres D) 250 metres

Answer 1

$\large\bf\underline{Given:-}$

• Ratio of Length and breadth = 5:3

• owner spent Rs 6000 for surrounding it from all sides at Rs.7.50 per metre.

$\large\bf\underline {To \: find:-}$

• difference between its length and breadth

$\huge\bf\underline{Solution:-}$

Let the length be 5x and breadth be 3x

Perimeter of rectangle = 6000/7.5

Perimeter of rectangle = 800 m

we know that,

• ≫ perimeter of rectangle = 2(l+b)

»» 2(5x + 3x) = 800

»» 5x + 3x = 800/2

»» 8x = 400

»» x = 400/8

»» x = 50

★ So, we get the Value of x = 50

• ≫ Length 5x = 5 × 50 = 250
• ≫ breadth 3x = 3 × 50 = 150

Difference between length and breadth

⠀⠀⠀= 250- 150

• ≫ 100

Hence Difference between length and breadth is 100

Answer 2

Answer : B) 100 metres

For detailed solution kindly look at the attachment.

Hope it helps ^_^

Thanks!

Sorry, EDIT : below there is 12x = 6000

It should be 120x = 6000

Hence, x = 50 m