Question

the length and breadth of rectangular Garden is in the ratio 4 ratio 3 if the area is 7500 metre square find the cost of fencing the garden rupees 6 per metre​

Answer 1

• Let the length =4x
• And, breadth = 3x
• Area of rectangle = ( length × breadth)

7500= 12x²

7500/12=x²

25=x

length = 4×25

Length = 100m

breadth = 3×25

Breadth = 75m

• perimeter = 2(l+b)

=> 2(100+75)

=> 2×175

=>>350m

=> cost of fencing= 6×350

= 2100 rupees

The cost of fencing is 2100 rupees

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Answer 2

${ \huge {\bold { \green{Answer}}}} \:$

Let the length =4x

And, breadth = 3x

Area of rectangle = ( length × breadth)

$7500 = {12x}^{2} \\ \\ {x}^{2} = \frac{7500}{12} \\ \\ {x}^{2} = 625 \\ \\ x = 25$

length = 4×25

Length = 100m

breadth = 3×25

Breadth = 75m

perimeter = 2(l+b)

=> 2(100+75)

=> 2×175

=>>350m

=> cost of fencing= 6×350

= 2100 rupees

The cost of fencing is 2100 rupees