Question

The length and breadth of a rectangular piece of land are in ratio 5:2 if the total cost of fencing it at Rs 12.5 meter is Rs 25000 , find its length and breadth
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Answer 1

Given that,

The length and breadth of a rectangular piece of land are in ratio 5 : 2 therefore, Let us assume that :

• Length = l = 5x

• Breadth = b = 2x

And the perimeter of rectangle with length l and breadth b is given by ;

$\large \bigstar \large \: \: \: \red{\underline{ \boxed{ \bf Perimeter = 2(l + b)}}}$

Applying this formula here ;

$:\longmapsto \rm Perimeter = 2(5x + 2x)$

$:\longmapsto \rm Perimeter = 2 \times 7x$

$\green{:\longmapsto \bf \underline{\underline{ \blue{ Perimeter = 14x}}}}$

As total cost of fencing it at Rs 12.5 meter is Rs 25000 So,

$:\longmapsto \rm \rm12.5 \times 14x = 25000$

$:\longmapsto \rm 175 \: x = 25000$

$:\longmapsto \rm x = \frac{25000}{175}$

$\green{:\longmapsto \bf \underline{\underline{ \blue{ x = 142.85}}}}$

Hence,

$\bf \purple{Length = 5x = 5 (142.85m) = 714.25}\\ \\ \bf\purple{Breadth = 2x = 2 ( 142.85) = 285.7 m}$

Answer 2

PROVIDED INFORMATION :-

The length and breadth of a rectangular piece of land are in ratio 5:2

if the total cost of fencing it at Rs 12.5 meter is Rs 25000

QUESTION :-

The length and breadth of a rectangular piece of land are in ratio 5:2 if the total cost of fencing it at Rs 12.5 meter is Rs 25000 , find its length and breadth

TO FIND :-

find its length and breadth = ?

SOLUTION :-

first we have formula :-

perimeter = 2 × (length +breadth)

Let length = 5x

breadth = 2x

perimeter = 2 ( 5x + 2x)

= 14 x

= 14 x × 1.25 = 25000

x = 25000

= 14 × 1.25

x = 142.85

Length = 5 × 142 .85 = 714.25 m

Breadth = 2 × 142.85 = 285 .70 m

therefore :-

Length = 714.25 m

Breadth = 285.70m