Question

The length and breadth of a field are in the ratio 7:6. If breadth is 96 m, then its length is

Answer 1

7:6 :: x:96

the product of extreme terms is equal to the product of middle terms

so

672 = 6x

112 = length

Answer 2

The length of the field = 112 m

Given :

• The length and breadth of a field are in the ratio 7 : 6

• The breadth is 96 m

To find :

The length of the field

Solution :

Step 1 of 2 :

Form the equation

Let length of the field = x metre

By the given condition

x : 96 = 7 : 6

Step 2 of 2 :

Find length of the field

$\displaystyle \sf{ \frac{x}{96} = \frac{7}{6} }$

$\displaystyle \sf{ \implies x = \frac{7}{6} \times 96}$

$\displaystyle \sf{ \implies x = 112}$

The length of the field = 112 m

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