Question

The length and breadth of a rectangular field are in the 5:4. If the perimeter is 108 m,find the dimensions of the field​

Answer 1

Answer:

The length of the field is 30m and breadth of the field is 24m

Step-by-step explanation:

The length and breadth of the rectangular field are said to be in a ratio of 5:4

Let us consider that the length is 5x and breadth is 4x

The formula for perimeter of a rectangle=2(l+b)

where l is the length and b is the breadth of the rectangle

Perimeter of the field=2(5x+4x)=2 x 9x=18x

The given value of perimeter is 108m

18x=108

x=$\frac{108}{18} =6$

The length of the field= 5x= 5 x 6=30m

the breadth of the field= 4x=4 x 6=24 m

Answer 2

Answer:

Dimensions of rectangular field are :  length is $30$ m and breadth is $24$ m .

Step-by-step explanation:

To find : dimensions of rectangular field.

Given : the length and breadth of a rectangular field are in the ratio 5 : 4 and perimeter is 108 m .

Solution :

• According to question we are given that length and breadth of a rectangular field are in the 5 : 4 and perimeter is 108 m . We have to find dimensions  of field.
• Let , $5x$ and $4x$ be the length and breadth of a rectangular field respectively . Using following formula we find length and breadth.
• Perimeter of rectangle =  $2 ( l +b )$
• Substituting values in above formula  ,

        $108 = 2 ( 5x + 4x )\\\\54 = 5x + 4x \\\\54 = 9x \\\\x = \frac{54}{9}\\\\x = 6$

• Now , substituting value of $x$ in $5x$ and $4x$  .
• Length = $5x = 5\times6= 30\ m$
• Breadth = $4x = 4\times 6 = 24\ m$

Note :

Question for above solution is : The length and breadth of a rectangular field are in the ratio 5:4. If the perimeter is 108 m, find the dimensions of the field​ .