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hram777 [196]
3 years ago
11

Twelve friends met for for dinner. They learned that three-twelfths of them

Mathematics
1 answer:
Strike441 [17]3 years ago
3 0

the answer is seven twelfth

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the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width
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Answer:

  • Length = 17 inches

  • Width = 12 inches

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

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Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

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Now, <u>According to the Question :</u>

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{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}

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{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}

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{\longrightarrow \qquad { {\sf{2 ( 2x + 5  )= 58 }}}}

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{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}

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{\longrightarrow \qquad { {\sf{ 4x = 58  - 10}}}}

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{\longrightarrow \qquad { {\sf{ 4x = 48}}}}

⠀

{\longrightarrow \qquad { {\sf{ x =  \dfrac{48}{4} }}}}

⠀

{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\:  \:  \bigstar

⠀

Therefore,

  • The width of the rectangle is 12 inches .

⠀

Now, We are to find the length of the rectangle:

{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}

⠀

Therefore,

  • The length of the rectangle is 17 inches .

⠀

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Step-by-step explanation:

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