Question

The area of a rectangle is 96 cm². If the breadth of the rectangle is 8 cm,

find its length and perimeter.​

Answer 1

Answer:

96/8 = 12

L = 12 cm

B = 8 cm

perimeter = 2(L+B)

2(12+8)cm

2(20)cm

40cm

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Answer 2

Given:-

• The area of the rectangle is 96 cm².
• Breadth of the rectangle is 8 cm.

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To find:-

• Length and perimeter of the rectangle.

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Solution:-

Firstly,

• find out the length of the rectangle.

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★Formula used:-

${\dag}\:{\underline{\boxed{\sf{\purple{Area\: of\: rectangle = length \times breadth}}}}}$

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$\tt\longmapsto{96 = l \times b}$

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$\tt\longmapsto{96 = l \times 8}$

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$\tt\longmapsto{l = \dfrac{96}{8}}$

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$\tt\longmapsto{\boxed{\red{l = 12\: cm}}}$

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Hence,

• the length of the rectangle is 12 cm.

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Then,

• find out the perimeter of the rectangle.

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★Formula used:-

${\dag}\:{\underline{\boxed{\sf{\purple{Perimeter\: of\: rectangle = 2(length + breadth)}}}}}$

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$\tt\longmapsto{2(l + b)}$

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$\tt\longmapsto{2(12 + 8)}$

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$\tt\longmapsto{2(20)}$

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$\tt\longmapsto{\boxed{\orange{40\: cm}}}$

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Hence,

• the perimeter of the rectangle is 40 cm.

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★More to know :-

$\sf{Area\;of\;Rectangle\;=\;Length\;\times\;Breadth}$

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$\sf{Area\;of\;Square\;=\;(Side)^{2}}$

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$\sf{Area\;of\;Triangle\;=\;\dfrac{1}{2}\;\times\;Base\;\times\;Height}$

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$\sf{Area\;of\;Parallelogram\;=\;Base\;\times\;Height}$

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$\sf{Area\;of\;Circle\;=\;\pi r^{2}}$

$\sf{Perimeter\;of\;Rectangle\;=\;2\;\times\;(Length\;+\;Breadth)}$

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$\sf{Perimeter\;of\;Rectangle\;=\;4\;\times\;(Side)}$

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$\sf{Perimeter\;of\;Circle\;=\;2\pi r}$