Question

the area of the rectangle is 32cm². if it's length is two times it's breadth. 1) find it's length and breadth. 2) find it perimeter​

Answer 1

Answer:

Let,

Breadth of Rectangle = x cm

So, Length of Rectangle = 2x cm

Now,

Area of Rectangle = 32 cm² ( given )

Also, Area of Rectangle = Length × Breadth

•°•

Length × Breadth = 32

( x ) × ( 2x ) = 32

2x² = 32

x² = 32 / 2

x² = 16

x = √16

x = ± 4

Dimensions can't be negative.

•°• x = 4

Now,

Length of Rectangle = x = 4 cm

Breadth of Rectangle = 2x = 2 ( 4 ) = 8 cm

Answer 2

$\bold{\large{\boxed{\pink{\tt{ANSWER}}}}}$

☆ Area of rectangle = 32 cm^2

☆ Let us assume that breadth = x

☆ It is given that , length is two times its breadth ..so , length = 2x

We know that,

$\bold{\large{\boxed{\purple{\tt{ Area \: of \: Rectangle = length × breadth}}}}}</p><p>$

$\rightarrow{\tt{32 = x \times 2x}}$

$\rightarrow{\tt{32 = 2 {x}^{2} }}$

$\rightarrow{\tt{ {x}^{2} = \frac{32}{2} }}$

$\rightarrow{\tt{ {x}^{2} = 16}}$

$\rightarrow{\tt{x = \sqrt{16} }}$

$\rightarrow{\tt{x = 4\: cm}}$

So , breadth = x = 4 cm

Length = 2x = 2 × 4 = 8 cm

We know ,

$\bold{\large{\boxed{\blue{\tt{ Perimeter \: of \: Rectangle = 2 (l+b)}}}}}</p><p>$

$\rightarrow{\tt{2(4 + 8)}}$

$\rightarrow{\tt{2(12)}}$

$\rightarrow{\tt{24\: cm}}$

I hope it helps u dear friend ^_^♡♡