Question

The length of a rectangle is 7x and its breadth is 5x. Find the ratio of 1.length to breadth 2.breadth to length. 3.length to perimeter 4. breadth to perimeter​

Answer 1

Answer:

1.) length to breadth = 7x/5x

2.) breadth to length = 5x/7x

3) length to perimeter = 7x/2(7x+5x) = 7x/2(12x)

4) breadth to perimeter = 5x/2(12x)

Step-by-step explanation:

Answer 2

$\text{The length and breadth of a rectangle are given as }7x \text{ and }5x \text{ respectively}$

$\text{We must find:}$

$\text{1) Length : Breadth}$

$\implies 7x : 5x$

$\implies \boxed{7 : 5}$

$\text{2) Breadth : Length}$

$\implies 5x : 7x$

$\implies \boxed{5 : 7}$

$\text{3) Length : Perimeter}$

$\implies \text{We know that Perimeter of a rectangle} = 2 \times (\text{Length + Breadth})$

$\implies \text{Perimeter} = 2\times(7x + 5x)$

$\implies \text{Perimeter} = 2\times12x$

$\implies \text{Perimeter} = 24x$

$\implies \text{Length : Perimeter} = 7x : 24x$

$\implies \boxed{7 : 24}$

$\text{4) Breadth : Perimeter}$

$\implies \text{We know from above that Perimeter} = 24x$

$\implies \text{Breadth : Perimeter} = 5x : 24x$

$\implies \boxed{5 : 24}$