Question

the length and the breadth of a rectangular field are in the ratio 7 ratio 4 the cost of financing are the field at 25 per metre is 33 ratio find the dimensions of the field.​

Answer 1

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The length and breadth of a rectangular field are in the ratio 7:4. The cost of fencing the field at Rs. 25 per metre is Rs. 3300. Find the length (in m) of the field.

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Solution

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Let length of rectangle be x m

Raito of length and Breadth=7:4

Breadth

x

=

4

7

⇒ Breadth=

7

4x

Cost of fencing 1m=Rs. 25

Cost of fencing the fluid =Rs. 3300

Perimeter of rectangle × cost of fencing 1cm = cost of fencing the field.

2(l+b)×25=3300

50(l+b)=3300

l+b=66

x+

7

4x

=66

11x=66×7

x=42

Length =42m

Breadth=24m.