Question

The ratio of length and breadth of a field is 5:4. If the breadth is 96m find the length..​

Answer 1

Step-by-step explanation:

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Answer 2

Given :

Ratio of length and breadth : 5:4

Breadth of the rectangle : 96 metres

To find :

The length of the rectangle.

Solution :

We have two methods to solve this question. The three method is as follows,

Length of the rectangle :

Let the length be y metres.

$\sf \leadsto 5 : 4 :: y : 96$

$\sf \leadsto 5 : 4 = y : 96$

$\sf \leadsto 4y = 96(5)$

$\sf \leadsto 4y = 480$

$\sf \leadsto y = \dfrac{480}{4}$

$\sf \leadsto y = 120$

The second method is as follows,

Length of the rectangle :

Let the length be y metres.

$\sf \leadsto 5 : 4 :: y : 96$

$\sf \leadsto 5 : 4 = y : 96$

$\sf \leadsto \dfrac{5}{4} = \dfrac{y}{96}$

$\sf \leadsto \dfrac{96}{4} = \dfrac{y}{5}$

$\sf \leadsto 24 = \dfrac{y}{5}$

$\sf \leadsto y = 24(5)$

$\sf \leadsto y = 120$

The third method is as follows,

Length of the rectangle :

Let the length be y metres.

$\sf \leadsto 5 : 4 :: y : 96$

$\sf \leadsto 5 : 4 = y : 96$

$\sf \leadsto \dfrac{5}{4} = \dfrac{y}{96}$

$\sf \leadsto 4y = 96(5)$

$\sf \leadsto 4y = 480$

$\sf \leadsto y = \dfrac{480}{4}$

$\sf \leadsto y = 120$

Therefore, the length of the rectangle measures 120 metres.