The length of the rectangle is _______ if area and breadth be 96 cm2

and 8 cm.​

2 thoughts on “The length of the rectangle is _______ if area and breadth be 96 cm2<br /><br />and 8 cm.​”

1. [tex]{\bf{Given\::}} \\ [/tex]

   • The breadth of a rectangle is 8 cm.

   • Area of the rectangle is 96 cm².

   [tex] \\ {\bf{To\: Find\::}} \\ [/tex]

   • The length of the rectangle.

   [tex] \\ {\bf{Solution\::}} \\ [/tex]

   As we know that,

   ☛ Area of a rectangle is given as,

   [tex]\orange\bigstar\:{\Large\mid}\:\bf\purple{Area\:=\: Length\times{Breadth}\:}\:{\Large\mid}\:\green\bigstar \\ [/tex]

   [tex]\dashrightarrow\:\tt{Area\:=\: Length\times{Breadth}\:} \\ [/tex]

   [tex]\dashrightarrow\:\tt{96~cm^2\:=\: Length\times{8~cm}\:} \\ [/tex]

   [tex]\dashrightarrow\:\tt{Length\:=\:\dfrac{96~cm^2}{8~cm}\:} \\ [/tex]

   [tex]\dashrightarrow\:\bf\pink{Length\:=\:12~cm\:} \\ [/tex]

   ∴ The length of the rectangle is 12 cm.

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2. Answer:

   • The length of the rectangle is 12 cm if area and breadth be 96 cm² and 8 cm.

   Step-by-step explanation:

   Given that:

   • Area of a rectangle = 96 cm²
   • Breadth of a rectangle = 8 cm

   To Find:

   • Length of a rectangle.

   Formula used:

   • Area of rectangle = (Length × Breadth)

   Finding the length of a rectangle:

   Area of rectangle = (Length × Breadth)

   Substituting the values.

   ⇒ 96 cm² = Length × 8 cm

   ⇒ Length × 8 cm = 12 cm × 8 cm

   Cancelling 8 cm both sides.

   ⇒ Length = 12 cm

   ∴ Length of the rectangle = 12 cm

   Reply