Question

the perimeter of rectangle is 18cm and width is 3by 3by 4cm find length​

Answer 1

★ Given :-

• Perimeter of Rectangle = 18 cm .
• Width of Rectangle = $\bf{3\frac{3}{4}\:cm}$

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★ To Find :-

• Lenght of Rectangle = ?

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★ Solution :-

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∓ Here, it is given that, Perimeter of Rectangle is 18 cm . Width of Rectangle is $\bf{3\frac{3}{4}}$ . And, we have to find the value of Lenght of Rectangle .

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• Now, let's solve step by step -----

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• First, we will convert the mixed fraction of breadth .

$\dashrightarrow\:\sf{Width =3\: \frac{3}{4}}\\\\\dashrightarrow\: \sf{\frac{4\times3+3}{4}}\\\\ \dashrightarrow\:\sf{\frac{15}{4} \:cm}$

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• Now, we will find the Length .

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$\bull \: \sf \pmb{Perimeter = 2 \times ( \: L + B \: )} \\ \\ \dashrightarrow \: \sf{18 = 2 \times {\Huge{[}}\: x \: + \frac{15}{4} }{\Huge{]}} \\ \\ \dashrightarrow \: \sf{ \frac{18}{2} = x + \frac{15}{4} } \\ \\ \dashrightarrow \: \sf{x + \frac{15}{4} = \frac{18}{2} } \\ \\ \dashrightarrow \: \sf{x = \frac{18}{2} - \frac{15}{4} } \\ \\ \dashrightarrow \: \sf{x = \frac{18 \times 2 - 15}{4} } \\ \\ \dashrightarrow \: \sf{x = \frac{36 - 15}{4} } \\ \\ \dashrightarrow \: \sf{x = \frac{21}{4} } \\ \\ \dashrightarrow \: \sf{x = 5 \: \frac{1}{4} }$

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★ Hence :-

• Lenght of Rectangle = $\bf{5\:\frac{1}{4}\:cm\:.}$

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