Question

The area of a rectangle is 180 sq m and the length of the rectangle is 15 m. What is the PERIMETER of the rectangle?

Answer 1

Answer:

54 m

Step-by-step explanation:

Area of rectangle = 180 m²

Length = 15 m

Breadth = (180/15) m = 12 m

Perimeter of rectangle = 2(l+b)

=> Perimeter = 2(15+12) m = 2(27) m = 54 m

Answer 2

$\sf Given \begin{cases} & \sf{Area\;of\;rectangle = \bf{180\;sq.\;m}} \\ & \sf{Length\;of\;rectangle = \bf{15\;m }} \end{cases}$

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Need to find: Perimeter of the Rectangle?

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☯ Let Breadth of Rectangle be "x" m.

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$\dag\;{\underline{\frak{We\;know\;that,}}}$

$\star\;{\boxed{\sf{\purple{Area_{\;(rectangle)} = Length \times Breadth}}}}$

$:\implies\sf 15 \times x = 180$

$:\implies\sf x = \cancel{ \dfrac{180}{15}}$

$:\implies{\boxed{\sf{\pink{x = 120\;m}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Thus,\;Breadth\;of\;rectangle\;is\; \bf{120\;m}.}}}$

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Now, Finding perimeter of rectangle,

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$\star\;{\boxed{\sf{\purple{Perimeter_{\;(rectangle)} = 2(Length + Breadth)}}}}$

Now, We have,

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• Length of Rectangle, l = 15 m
• Breadth of Rectangle, b = 12 m

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$:\implies\sf Perimeter_{\;(rectangle)} = 2(15 + 12)$

$:\implies\sf Perimeter_{\;(rectangle)} = 2 \times 27$

$:\implies{\boxed{\sf{\pink{Perimeter= 54\;m}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Hence,\;The\; Perimeter\;of\;rectangle\;is\; \bf{54\;m}.}}}$