Question

the
length of a reclangle is two times
it's width the perimeter of the rectangle is 180cm
Find the length and width of rectangle
​

Answer 1

Step-by-step explanation:

let the width be x

and length be 2x

Perimeter=2(l+b)

180 = 2(2x+x)

= 2 × 3x

= 6x

x = 180÷6

= 30

b = 30 ; l = 2×30 = 60

Answer 2

$\underbrace{ \boxed{ \tt \pink S \gray ol \blue ut \red io \purple n}}$

Let the width of the rectangle be x.

It is given that the length of the rectangle is twice its width, so the length is 2x.

Now,

We know that the perimeter of a rectangle is twice the sum of its length and width.

The perimeter is given as 180 cm.

So, Perimeter of rectangle = 2(L+B)

$\implies \red{ \tt 180cm = 2(2 x+ x)}$

$\implies \blue{ \tt 180cm = 4 x+ 2x}$

$\implies \purple{ \tt 180cm = 6x}$

$\implies \pink{ \tt \frac{ \cancel{180}}{ \cancel6} = x}$

$\implies \gray{ \tt x = 30cm}$

$\tt So, the \: width \: of \: rectangle \: is \\ \tt x = 30cm \: and \: the \: length \: of \: rectangle \\ \tt is \: 2x = 2 \times 30 = 60cm.$

$\huge \tt Hence, \: dimensions \\ \huge \tt of \: rectangle \: is \\ \huge \boxed{ \tt30 \times 60}$