Question

The length and breadth of a rectangular field are in ratio 3:2 . If the area is 3456 m aquare. Find length and breadth

Please answer and explain​

Answer 1

3x*2x=3456

6x^2= 3456

x= √(3456/6)

x=24

length= 72 m

breadth=48 m

Answer 2

Answer:

The Length is 72 m and Breadth is 48 m.

Step-by-step explanation:

Given :

Ratio of Length to breadth = 3 : 2

Area = 3456 m²

To find :

The Length and Breadth

Solution :

Let the -

• Length = 3y
• Breadth = 2y

★ Area = $\boxed{\sf{Length \times Breadth}}$

$\sf{\longrightarrow} \: 3y \times 2y = 3456 \\ \\ \sf{\longrightarrow} \: {6y}^{2} = 3456 \\ \\ \sf{\longrightarrow} \: {y}^{2} = \dfrac{3456}{6} \\ \\ \sf{\longrightarrow} \: {y}^{2} = 576 \\ \\ \sf{\longrightarrow} \: y = \sqrt{576} \\ \\ \sf{\longrightarrow} \: y = 24$

$\rule{300}{1.5}$

★ Value of 3y -

$\sf{\longrightarrow} \: 3(24) \\ \\ \sf{\longrightarrow} \: 72 \: m$

Length= 72 m

$\rule{300}{1.5}$

★ Value of 2y -

$\sf{\longrightarrow} \: 2(24) \\ \\ \sf{\longrightarrow} \: 48 \: m$

Breadth = 48 m

$\therefore$ The Length is 72 m and Breadth is 48 m.