Question

13. A rectangular field has its length and breadth in the ratio 5 : 3. Its area is 3.75 hectares. The cost of fencing in at 5 per meter is (1) 400 (2) 4000 (3) 1000 (4) 500

11th - 12th Class

Maths

Solution

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13. (2) Area of field = 3.75 hectares ( =3.75 times 10000=37500 mathrm{m}^{2} ) Let length and breadth of a rectangle be ( 5 x ) and ( 3 x ) ( therefore ) Area of Rectangle ( =1 times b=5 x times 3 x ) ( Rightarrow 15 x^{2}=37500 mathrm{m}^{2} Rightarrow x^{2}=2500 mathrm{m}^{2} ) ( Rightarrow ) ( x=50 mathrm{m} ) Length ( =5 x=5 times 50=250 mathrm{m} ) and Breadth ( =3 x=3 times 50=150 mathrm{m} ) ( therefore ) Perimeter of field ( =2 times(250+150)=2 times 400=800 mathrm{m} ) ( therefore ) Cost of fencing ( =800 times 5=₹ 4000 )