Question

Find the breadth of a rectangle of area 24 s q.cm and length 8 cm.

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Answer 1

Given : Area of Rectangle is 24 sq. cm and Length of Rectangle is 8 cm.

To Find : Breadth of Rectangle ?

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❍ Let's consider the Breadth of Rectangle be x

• Finding Area of Rectangle by using the formula is given by :

$\underline{\frak{As ~we ~know~ that~:}}$

• $\boxed{\sf\pink{Area_{(Rectangle)}~=~l~×b}}$★

$~$

Solution : Here l is the Length of Rectangle in centimetres and b is the Breadth of Rectangle in centimetres and we have given with Area of Square is 24 cm².

$~$

$\underline{\bf{Now~ By~ Substituting~ the ~Given ~Values~:}}$

$~$

$~~~~~~~~~~:\implies{\sf{24~cm^2~=~8~×~x}}$

$~~~~~~~~~~:\implies{\sf{\cancel\dfrac{24}{8}}}$${\sf{=~x}}$

$~~~~~~~~~~:\implies{\underline{\boxed{\frak{\pink{x~=~3~cm}}}}}$★

$~$

Therefore,

• Breadth of Rectangle is x = 3 cm.

$~$

Hence,

$\therefore{\sf{Breadth~of~ Rectangle~is~\bf{3~cm}}}$

$~$

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V E R I F I C A T I O N :

$~$

$\underline{\frak{As~ we~ know~ that~:}}$

• $\boxed{\sf\pink{Area_{(Rectangle)}~=~l~×~b}}$★

$~$

Here l is the Length of Rectangle in centimetres and b is the Breadth of Rectangle in centimetres and as we have given with Area of Square is 24 cm².

$~$

$\underline{\bf{Now~By~Susbstituting~the~Given~and~found~Values~:}}$

$~$

$~~~~~~~~~~:\implies{\rm{24~cm^2~=~8~×~3}}$

$~~~~~~~~~~:\implies{\underline{\boxed{\frak{\pink{24~cm^2~=~24~cm^2}}}}}$★

$~~~~$$\qquad\quad\therefore\underline{\textsf{\textbf{Hence Verified!}}}$

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More Information :

• ${\rm{Perimeter_{(Triangle)}~=~Side ~A~+~Side~ B~+~Side~ C}}$

• ${\rm{Perimeter_{(Rectangle)}~=~2(Length~+~Breadth)}}$

• ${\rm{Perimeter_{(Square)}~=~4~×~Side}}$

• ${\rm{Circumference_{(Circle)}~=~2~×~π~×~Radius}}$

Answer 2

To find Length or Breadth when Area of a Rectangle is given

When we need to find length of a rectangle we need to divide area by breadth.

Length of a rectangle = Area ÷ breadth.

ℓ = A ÷ b.

Similarly, when we need to find breadth of a rectangle we need to divide area by length.

Breadth of a rectangle = Area ÷ length.

b = A ÷ ℓ