Question

A rectangular courtyard is 20m 16m. long and 15m 60cm broad . its boundary is to be measured with scale.find the length of largest scale which can the boundary complete​

Answer 1

Answer:

Let's take this diagram

❏ a = 15m 60cm = 1560 cm

b = 20m 16cm = 2016 cm

❏ Largest scale = 2(l+b)

= 2(1560+2016) cm

= 7152 cm

= 71m 52cm

This is the required answer.

Answer 2

★ Given :

$\sf Length = 20m \: 16cm$

$\sf Breadth =15m \: 60cm$

★ To Find :

$\sf \: Perimeter \: of \: the \: Rectangle$

★ Solution :

$\sf \: The \: scale \: should \: be \: of \: 71.52m$

★ Explanation :

$\sf \: L = 20 (100) + 16$

$\sf \: = 2000 + 16$

$\sf \: = 2016 cm$

$\sf \: B = 15 (100) + 60$

$\sf = 1500 + 60$

$\sf = 1560 cm$

Here,

$\sf \: Perimeter \: of \: the \: rectangle = 2(L+B)$

$\sf= 2 (2016 + 1560)$

$\sf = 2(3576)$

$\sf \color{red} = 7152cm$

In metre :

$\boxed{ \sf = \frac{ \: \: \: \: \cancel{7152} \: ^{71.52} }{\cancel{100} \: _{1}}}$

$⟶ \sf \color{red}71.52m$

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