Question

the length and breadth of the rectangular field are ratio 3:2 .if the area of the field is 34565 m square. find the cost of fencing it border

Answer 1

• Let length of rectangular field be 3M and breadth be 2M.

• Area of rectangular field = 34565 m²

$\boxed{*\:Area\:of\: rectangle\:=\:length\:\times\:breadth}$

$\implies$ 34565 = 3M × 2M

$\implies$ 34565 = 6M²

$\implies$ 6M² = 34565

$\implies$ M² = 576

$\implies$ M = 24

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Length of rectangular field = 3M = 3(24) = 72 m

Breadth of rectangular field = 2M = 2(24) = 48 m

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$\boxed{*\: Perimeter\:of\: rectangle\:=\:2(l\:+\:b)}$

$\implies$ 2(72 + 48)

$\implies$ 2(120)

$\implies$ 240 m

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The cost of fencing the border of rectangular field is cost of fencing field pee meter × 240 m

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