Question

The length of a rectangle is 7x and its breadth is 5x. Find the ratio of
i. length to breadth.
ii. breadth to length.
i. length to perimeter.
iv. breadth to perimeter​

Answer 1

Answer:

(I) 7:5 (ii) 5:7 (iii) 7:24 (iv) 5:24

Answer 2

Given: The length and Breadth of a rectangle are 7x and 5x.

★ Finding ratios:

I) The ratio of length to Breadth:

$\longrightarrow\sf 7x : 5x \\\\\\\longrightarrow\sf 7: 5$

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$\therefore{\underline{\sf{Hence,\; the\; ratio \: of \; Length \; to \; Breadth \; is \; \bf{ 7:5}.}}}$

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II) The ratio of Breadth to Length:

$\longrightarrow\sf 5x : 7x \\\\\\\longrightarrow\sf 5 : 7$

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$\therefore{\underline{\sf{Hence,\; the\; ratio \: of \; Breadth \; to \; length \; is \; \bf{ 5:7}.}}}$

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Finding Perimeter:

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$\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}$⠀

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$\longrightarrow\boxed{\sf{\pink{Perimeter = 2(Length + Breadth)}}}\\\\\\\longrightarrow\sf Perimeter = 2(7x + 5x)\\\\\\\longrightarrow\sf Perimeter = 2 \times 12x\\\\\\\longrightarrow{\underline{\boxed{\sf{\pink{Perimeter = 24 x}}}}}$

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Therefore,

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III) The ratio Length to Perimeter:

$\longrightarrow\sf 7x : 24x\\\\\\\longrightarrow\sf 7: 24$

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$\therefore{\underline{\sf{Hence,\; the\; ratio \: of \; Length \; to \; Perimeter \; is \; \bf{ 7:24}.}}}$

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IV) The ratio of Breadth to Perimeter:

$\longrightarrow\sf 5x : 24x\\\\\\\longrightarrow\sf 5:24$ ⠀⠀⠀

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$\therefore{\underline{\sf{Hence,\; the\; ratio \: of \; Breadth \; to \; Perimeter \; is \; \bf{ 5:24}.}}}$