The length and the breadth of a rectangular field are in the ratio 5:4 and its area is 3380 m square. Find the cost of fencing it at the rate of₹75 per m.

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Solution

Let length , breadth be in ratio 5x ,4x (m) resp.
so Area =length×breadth
3380 =5x × 4x
20x^2=3380
x^2=169
x=13
so length=5x=65m
breadth=4x=52m
perimeter=2(l+b)=2(65+52)=2× 117=234m
so the cost of fencing=75×234=Rs.17550

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The length and the breadth of a rectangular field are in the ratio 5:4 and its area is 3380 m square. Find the cost of fencing it at the rate of₹75 per m.

Let length , breadth be in ratio 5x ,4x (m) resp. so Area =length×breadth 3380 =5x × 4x 20x^2=3380 x^2=169 x=13 so length=5x=65m breadth=4x=52m perimeter=2(l+b)=2(65+52)=2× 117=234m so the cost of fencing=75×234=Rs.17550

Let length , breadth be in ratio 5x ,4x (m) resp.
so Area =length×breadth
3380 =5x × 4x
20x^2=3380
x^2=169
x=13
so length=5x=65m
breadth=4x=52m
perimeter=2(l+b)=2(65+52)=2× 117=234m
so the cost of fencing=75×234=Rs.17550