Question

The ratio of length and breadth of a rectangle is.
3:1, and its perimeter is 30cm.​

Answer 1

Step-by-step explanation:

let length be 3x and breadth be 1x

P =2(l+b)

30cm = 2(3x + 1x)

30cm = 6x + 2x

30 cm = 8x

30cm/8 = x

3.75cm= x

lenght = 3x

= 3 into (multiply) 3.75 cm

= 11.25 cm

breadth = 1x

= 1 into ( multiply ) 3.75cm

= 3.75 cm

Answer 2

$\huge \fbox \blue{Answer:}$

Let the length and breadth of the rectangle be

$3x$cm and

$x$cm , respectively.

$\textbf{Perimeter of the rectangle = } 30 \: cm$

$\textbf{∴2(Length + Breadth) = 30 \: } cm$

$⇒2(3x + x) = 30$

$⇒2 \times 4x = 30$

$⇒8x = 30$

$⇒x = 3.75$

$\text{∴Length of \: the \: rectangle \: }$

$= 3x = 3 \times 3.75 = 11.25 \: cm$

$\text{ Breadth of \: the \: rectangle \: } = x = 3.75 \: cm$

$\fbox{Thus,}$

The length and breadth of the rectangle is 11.25 cm and 3.75 cm respectively.

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