Question

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

and 8 cm.​

Answer 1

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

Answer 2

${\bf{Given\::}}$

• The breadth of a rectangle is 8 cm.

• Area of the rectangle is 96 cm².

$\\ {\bf{To\: Find\::}}$

• The length of the rectangle.

$\\ {\bf{Solution\::}}$

As we know that,

☛ Area of a rectangle is given as,

$\orange\bigstar\:{\Large\mid}\:\bf\purple{Area\:=\: Length\times{Breadth}\:}\:{\Large\mid}\:\green\bigstar$

$\dashrightarrow\:\tt{Area\:=\: Length\times{Breadth}\:}$

$\dashrightarrow\:\tt{96~cm^2\:=\: Length\times{8~cm}\:}$

$\dashrightarrow\:\tt{Length\:=\:\dfrac{96~cm^2}{8~cm}\:}$

$\dashrightarrow\:\bf\pink{Length\:=\:12~cm\:}$

∴ The length of the rectangle is 12 cm.