Question

If the area of the rectangle is 25⅔ m and breadth of the rectangle is 3⅔ m, then find its length. Also, justify if the value of length is a rational number or not?
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Answer 1

Answer:

4rt two pay yar answers

Answer 2

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

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$\large{\green{\underline \bold{\tt{Given :-}}}}$

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• Area of rectangle = 25⅔ sq. m

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• Breadth of rectangle = 3⅔ m

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$\large{\red{\underline \bold{\tt{To \: Find :-}}}}$

• Length of rectangle

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• Verify it if it is a rational number

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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• Let the length be "l"

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$\underline{\bold{\texttt{Area of rectangle :}}}$

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➠ Length × Breadth

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Given that area of rectangle is 25⅔ = $\sf \dfrac { 77 } { 3 }$

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So ,

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• length = l

• breadth = 3⅔ m = $\sf \dfrac { 11 } { 3 }$

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➜ $\sf \dfrac { 77 } { 3 }$ = Length × Breadth

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➜ $\sf \dfrac { 77 } { 3 } = l \times \dfrac { 11 } { 3 }$

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➜ $\sf l = \dfrac { 77 } { 3} ÷ \dfrac { 11 } { 3 }$

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➜ $\sf l = \dfrac { 77 } { 3 } \times \dfrac { 3 } { 11 }$

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➨ $\sf l = 7 m$

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Now we will try to express 7 in the form of $\sf \dfrac { p } { q }$ where q ≠ 0

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➜ $\sf 7 = \dfrac { 7 } { 1 }$

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Here q ≠ 0 hence we successfully expressed 7 in the form of $\sf \dfrac { p } { q }$ where q ≠ 0

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• So "l" i.e length is a rational number