Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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

Sagot :

KimYurii

Answer:

20 units

Step-by-step explanation:

Let the length be x. According to the question,

  • Length = x
  • Width = 15% of the length

➝ Width = 15% of the length

➝ Width = 15/100x

➝ Width = 3/20x

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

[tex]\longrightarrow \sf {Perimeter_{(Rec.)} = 2(L + W) } \\ [/tex]

[tex]\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\ [/tex]

[tex]\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\ [/tex]

[tex]\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{20x + 3x}{20} \Bigg \rgroup } \\ [/tex]

[tex]\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{23x}{20} \Bigg \rgroup } \\ [/tex]

[tex]\longrightarrow \sf {\dfrac{46}{2}= \dfrac{23x}{20}} \\ [/tex]

[tex]\longrightarrow \sf {23= \dfrac{23x}{20}} \\ [/tex]

[tex]\longrightarrow \sf {23 \times 20 = 23x} \\ [/tex]

[tex]\longrightarrow \sf {460= 23x} \\ [/tex]

[tex]\longrightarrow \sf {\cancel{\dfrac{460}{23}} = x} \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \bf {20\; units = x}}} \\ [/tex]

Therefore, length of the rectangle is 20 units.

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.