Question

The area of a rectangle is 96 cm². If the breadth of the rectangle is 8 cm, find its length and perimeter.

Answer 1

Answer:

12 cm and 40 cm

Step-by-step explanation:

Area = length × breadth

96 = length × 8

96 / 8 = length

12 cm = length

Perimeter = 2 ( length + Breadth)

Perimeter = 2 ( 12 + 8)

Perimeter = 40 cm

Answer 2

Answer:

Length = 12 cm

Perimeter = 40 cm

Step-by-step explanation:

Given :

Area of the rectangle = 96 cm²

Breadth of the rectangle = 8 cm

To find :

(i) Length

(ii) Perimeter

Taken :

Let the length be x

So , the equation will like this -:

$\boxed{\sf{L\:\implies\:x\:\times\:B=A}}$

Where,

L = Length

B = Breadth

A = Area

After that to find the perimeter of the rectangle use this formula -:

$\boxed{\sf{P=2(L+B)}}$

Where,

P = Perimeter

L = Length

B = Breadth

Solution :

Length -:

$L\:\implies\sf{x\times8cm={96cm}^{2}}$

$L\:\implies\sf{x=\dfrac{{96cm}^{2}}{8cm}}$

$L\:\implies\sf{x=12cm}$

So , length is 12 cm .

Perimeter -:

$:\implies\sf{P=2(12cm+8cm)}$

$:\implies\sf{P=2\times20cm}$

$:\implies\sf{P=40cm}$

So , the perimeter is 40 cm .