Question

the length and breadth of a rectangular field are in ratio 9:5. if the area of the field is 14580 sq m , find the cost of surrounding the field with a fence at the rate of 3.25rupees per metre .​

Answer 1

this is the correct answer... hope it helps!!!

Answer 2

ANSWER:

⇛Rs. 1638

EXPLANATION✎

GIVEN;

• Ratio of length and breadth is 9:5
• Area of rectangular field is 14580 m²
• Cost of fencing is Rs. 3.25 per metre.

TO FIND:

• Total cost of fencing in field

SOLUTION:

$\sf Let\: ratio\: of \:length\: and \:breadth\: be \:9x:5x$

$\sf⇝✫Area\: of\: rectangle=Length×breadth$

$\sf:⟹\:\:14580m²=9x × 5x$

$\sf:⟹\:\:14580m2=45x²$

$:⟹\:\:\sf \frac{14580m²}{45}=x²$

$\sf:⟹\:\:324=x²$

$\sf:⟹\:\:18=x$

So

• $\sf length\: of\: rectangle=9x=9×18=162m$
• $\sf Breadth \:of\: rectangle=5x=5×18=90m$

To find the cost of fencing first we have to find perimeter of rectangular field.

✫Perimeter of rectangle=2(L+B)

$\sf:\implies\:\:2(162+90)$

$\sf: \implies\:\:2(252)$

$\sf: \implies\:\:504m$

$\sf Cost \:of \:fencing \:of\: 1m=Rs.3.25[Given]$

⇝Cost of fencing of 504m=Rs.1638

So total cost of fencing is Rs. 1638