Question

The area of the rectangle is 102.sq cm. If it's length is 17 cm. what is its perimeter.​

Answer 1

Answer:

First pls mark me as brainliest and for the answer

since area = 102sq.cm

And formula for area of rectangle is l*b

And we know the length is 17 cm

So to find Breadth we can divide 102/17

Which is 6

Now formula for perimeter is 2*(l+b)

=2*(17+6)

=2*23

= 46 cm

Answer 2

$\frak{Given}\begin{cases}\sf{\;\;\; Area_{\:(rectangle)} = 102\;cm^2}\\\sf{\;\;\; Length_{\;(rectangle)} = 17\;cm}\end{cases}$

Need to find: Perimeter of the rectangle.

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As we know that, to calculate the area of rectangle formula is given by :

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$\dag\;\boxed{\frak{\pink{Area_{\:(rectangle)} = \mathcal{l} \times B}}}$

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• Here, l is length of the rectangle and b is breadth of the rectangle. We're given with the length of rectangle that is 17 cm.

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Therefore,

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$\mapsto\sf Area = L \times B\\\\\\\mapsto\sf 102 = 17 \times b \\\\\\\mapsto\sf b = \cancel\dfrac{102}{17} \\\\\\\mapsto{\underline{\boxed{\sf{\pink{b = 6\;cm}}}}}\;\bigstar$

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⠀⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀

• Finding perimeter of the rectangle by using the given formula :

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$\dag\;\boxed{\frak{\pink{Perimeter_{\:(rectangle)} = 2(length + Breadth)}}}$

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$\underline{\bf{\dag} \:\mathfrak{Substituting\; Values\; :}}$⠀⠀⠀⠀

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$\mapsto\sf Perimeter_{\;(rectangle)} = 2(17 + 6)\\\\\\\mapsto\sf Perimeter_{\;(rectangle)} = 2 \times 23\\\\\\\mapsto{\underline{\boxed{\frak{\pink{Perimeter_{\;(rectangle)} = 46\;cm}}}}}\;\bigstar$

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$\therefore{\underline{\sf{Hence, \; required\; perimeter\;of\; rectangle\;is\;\bf{46\;cm }.}}}$