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:

dimensions of rectangular field are 24 m and 30 m

Step-by-step explanation:

given that :

length and breadth  of a rectangular field  are  in ratio 5:4

let length be L ; breadth be B ;

perimeter of rectangular field is 108 m;

formula for perimeter of rectangular field is  2(L + B)

⇒ 2(L+B) = 108 m

⇒ L+B = 108/2 = 54

also from above L/B = 5/4

L = (5/4)B

⇒ (5/4)B + B = 54

⇒ B(9/4) = 54

⇒ B = 24 m ;

⇒ L = (5/4)(24) = 30 m ;

dimensions of rectangular field are 24 m and 30 m

Answer 2

Answer:

Dimensions of the rectangular field are : length $= 30\ m$ and breadth $= 24\ m$

Step-by-step explanation:

To find :  dimensions of the rectangular field.

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

Solution :

• As per given data we know that , the length and breadth of a rectangular field are in the ratio 5:4 and perimeter is 108 m  . We have to find dimensions of the rectangular field.
• Let , $5x$ and $4x$ be the  length and breadth of a rectangular field respectively .
• Perimeter of rectangle = $2 (l + b)$

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

• Now , substituting the value of $x$ in  $5x$ and $4x$ to find length and breadth of field .
• Length = $5x = 5\times 6 = 30\ m$
• Breadth = $4x = 4\times 6 = 24\ m$