7. Find the cost of fencing a rectangular garden at the rate of 7.5 per m if its length and breadth are in theratio 4: 3 and its area is 1200 m²​

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Let the length of the rectangular garden be 4x.

Then breadth=3x.

Area of rectangle=length×breadth

So, area of the rectangular garden=12x²

Area(given)=1200

⇒12x²

=1200

⇒x=10

Hence, length=4x=40m

Breadth=3x=30m

Perimeter=2(l+b)=2(40+30)=2×70=140m

Cost of fencing 1m=Rs.7.50

So, cost of fencing 140m=140×7.50=Rs.1050