The width of a rectangle is only 15% of its length. If the perimeter of the rectangle is 46, what is the length

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Mathematics Ngọc Khuê 3 years 2021-08-01T20:20:22+00:00 2021-08-01T20:20:22+00:00 1 Answers 14 views 0

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Captcha* Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )

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thanhha · Answer 1 · 2021-08-01T20:22:12+00:00

thanhha

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2021-08-01T20:22:12+00:00 August 1, 2021 at 8:22 pm

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Answer:

20 units

Step-by-step explanation:

Let the length be x. According to the question,

➝ Width = 15% of the length

➝ Width = 15/100x

➝ Width = 3/20x

We have the perimeter of the rectangle that is 46 units.

$\longrightarrow \sf {Perimeter_{(Rec.)} = 2(L + W) } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{20x + 3x}{20} \Bigg \rgroup } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{23x}{20} \Bigg \rgroup } \\$

$\longrightarrow \sf {\dfrac{46}{2}= \dfrac{23x}{20}} \\$

$\longrightarrow \sf {23= \dfrac{23x}{20}} \\$

$\longrightarrow \sf {23 \times 20 = 23x} \\$

$\longrightarrow \sf {460= 23x} \\$

$\longrightarrow \sf {\cancel{\dfrac{460}{23}} = x} \\$

$\longrightarrow \underline{\boxed{ \bf {20\; units = x}}} \\$

Therefore, length of the rectangle is 20 units.