Findthecostoffencingarectangulargarden at the rate o 75 per n ifits en

1.	Findthecostoffencingarectangulargarden at the rate o 75 per n ifits ength and breadth are in thratio 4: 3 and its area is 1200 m.
Answer» Let the length of the rectangular garden be '4x'. Then, breadth = 3x • Now, we know that area of a rectangle = Length × breadth • So, area of the rectangular garden = 4x × 3x= 12x² • But, given area of the garden = 1200 m² => 12x² = 1200 => x² = 1200/12 => x² = 100 => x = √100 => x = √10 × 10 => x = 10 • Hence, the length of the rectangular garden = 4x = 4 × 10 = 40 m • And, the breadth of the rectangular garden= 3x= 3 × 10= 30 m • Now, perimeter of the rectangular garden = 2 (length + breadth) = 2 (40 + 30) = 2 × 70 = 140 m • Now, cost of fencing 1 m = 7.50 Rs. So, cost of fencing 140 m = 140 × 7.5 = 1050 Rs. thanks

Findthecostoffencingarectangulargarden at the rate o 75 per n ifits ength and breadth are in thratio 4: 3 and its area is 1200 m.

Answer»

Let the length of the rectangular garden be '4x'.

Then, breadth = 3x

• Now, we know that area of a rectangle = Length × breadth

• So, area of the rectangular garden = 4x × 3x= 12x²

• But, given area of the garden = 1200 m²

=> 12x² = 1200

=> x² = 1200/12

=> x² = 100

=> x = √100

=> x = √10 × 10

=> x = 10

• Hence, the length of the rectangular garden = 4x = 4 × 10 = 40 m

• And, the breadth of the rectangular garden= 3x= 3 × 10= 30 m

• Now, perimeter of the rectangular garden

= 2 (length + breadth)

= 2 (40 + 30)

= 2 × 70

= 140 m

• Now, cost of fencing 1 m = 7.50 Rs.

So, cost of fencing 140 m

= 140 × 7.5

= 1050 Rs.

thanks