Question

What is the length of rectangle if it's perimeter is 400 meter and its sides of the ratio is7:3

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Length of the Rectangle is 140 m and Breadth is 60 m.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

$\text{\underline{\underline{\purple{Given :}}}}$

Ratio of the Length and Breadth = 7 : 3

Perimeter of Rectangle = 400 m

$\text{\underline{\underline{\purple{To Find :}}}}$

The Length of the Rectangle

$\text{\underline{\underline{\purple{Solution : }}}}$

Consider the -

• Length as 7x
• Breadth as 3x

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

$\sf{\longrightarrow} \:2(7x + 3x) = 400$

$\sf{\longrightarrow} \:14x + 6x = 400$

$\sf{\longrightarrow} \:20x = 400$

$\sf{\longrightarrow} \:x = \dfrac{400}{20}$

$\sf{\longrightarrow} \:x = 20$

$\rule{300}{1.5}$

★ Value of 7x

$\sf{\longrightarrow} \:7 \times 20$

$\sf{\longrightarrow} \:140$

Length is 140 m

$\rule{300}{1.5}$

★ Value of 3x

$\sf{\longrightarrow} \:3 \times 20$

$\sf{\longrightarrow} \:60$

Breadth is 60 m

$\therefore$ The Length of the Rectangle is 140 m and Breadth is 60 m.

Answer 2

Answer:

Perimeter of the Rectangle =400m

Ratio of the length and breadth = 7:3

Solution:

Length = 7x

Breadth = 3x

Formula of perimeter :

2(Length + Breadth )

2(7x + 3x) = 400

14× + 6x = 400

20x = 400

20

X=20

Value of 7x

7x × 20

=140

Length = 140m.

Value of 3x

3 × 20

= 60

Breadth = 60m

So,

Length of Rectangle = 140m

Breadth of Rectangle = 60m