Question

7. If the length of a rectangle and its perimeter are in the ratio 5: 16, find the ratio between its length and breadth.​

Answer 1

Answer:

Given:-

Length = 5cm

Perimeter = 16cm

To find:-

Breadth = ?

Formula of perimeter of the square :-

2( l×b)

Solution:-

»» 2( L×B ) = 16

»» 2( 5×B ) = 16

»» 10( 2b ) = 16

»» 2b = 16-10

= 6

»» b = 6/2

= 3

Therefore, breadth is 3cm.

Final answer:-

The ratio of the length and the breadth is 5:3 cm.

Answer 2

Step-by-step explanation:

Given,

To find the ratio b/w length & breadth.

$\color{olive}\[ \begin{array}{l} \tt \dfrac{l}{2(l+b)}=\dfrac{5}{16} \\ \\ \tt \dfrac{l}{l+b}=\dfrac{5}{8} \\ \\ \tt 8 l=5 l+5 b \\ \\ \tt3 l=5 b \\ \\ \tt \dfrac{l}{b}=\dfrac{5}{3} \\ \\ \boxed{ \tt l : b=5: 3} \end{array} \]$

The ratio is 5: 3