Question

the ratio of length and breadth of a rectangle is 3:1and its perimeter is 36 cm find the length and breadth of a rectangle​

Answer 1

Answer:

let l =3x and b=x

so,

perimeter = l + b

36cm =3x+x

36cm=4x

x=36/4

x=9cm

put the value of x in 3x and x

Answer 2

Answer:

Length is 13.5 cm and Breadth is 4.5 cm.

Step-by-step explanation:

Given :

Ratio of Length to Breadth = 3 : 1

Perimeter = 36 cm

To find :

The length and breadth of the Rectangle

Solution :

Let the -

• Length be 3x
• Breadth be 1x

$\green{\boxed{\green{\boxed{\red{\sf{Perimeter=2(Length+Breadth)}}}}}}$

$\sf{\implies} \: 2(3x + x) = 36 \\ \sf{\implies} \: 6x + 2x = 36 \\ \sf{\implies} \: 8x = 36 \\ \sf{\implies} \: x = \frac{36}{8} \\ \sf{\implies} \: x = 4.5$

Breadth = 4.5 cm

$\rule{300}{1.5}$

★ Value of 3x

$\sf{\implies} \: 4.5 \times 3 \\ \sf{\implies} \: 13.5$

Length = 13.5 cm

$\therefore$ Length is 13.5 cm and Breadth is 4.5 cm.