Question

A rectangular field is 45.5 metre long and 37.5 metre wide how much wire will be needed for fencing around it twice ? Find the cost of fencing the field at the cost of fencing the wire is 7 rs. per metre?

Answer 1

$\huge{\underline{\mathfrak{\green{ANSWER}}}}$

$\bold{\underline{\sf{Given:}}}$

• Length of rectangular field, l = 45.5m
• Breadth of rectangular field, b = 37.5m

$\bold{\underline{\sf{To\:Find:}}}$

• How much wire will be needed for fencing around it twice?

$\bold{\underline{\sf{Formula\:Used:}}}$

• Perimeter of rectangular field = $\sf{2(l + b)}$

$\bold{\underline{\sf{Solution:}}}$

As,

$\boxed{\sf{Perimeter\:of\:rectangular\:field = 2(l + b)}}$

$\implies$ $\sf{P = 2(45.5 + 37.5)}$

$\implies$ $\sf{P = 2(83.0)}$

$\implies$ $\sf{P = 166 m}$

As we have to fence twice, so P becomes 332 m.

So, 332 m of wire is required for Fencing the field twice.

Now,

Cost of Fencing = 7 × 332 = RS. 2324

So, RS. 2324 will be the cost of Fencing the field twice.

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