Question

the length and breadth of a rectangular field are in the ratio 5: 3 the area is 2160 square metre find it dimensions

Answer 1

Answer :

Length = 60 m

Breadth = 36 m

Step-by-step explanation :

Let the length and breath of a rectangular field br 5x and 3x respectively.

We know that,

Area of rectangle = ( length * breadth ) unit²

According to the question ;

Area of rectangle = 2160 m²

⇒ ( 5x * 3x ) = 2160

⇒ 15 x² = 2160

⇒ x² = 2160 / 15

⇒ x² = 144

⇒ x = √144

⇒ x = 12 m

Hence,

Length of rectangle = 5x = 5 * 12 = 60m.

Breadth of rectangle = 3x = 3 * 12 = 36m.

Answer 2

Solutions :-

Given :
The length and breadth of a rectangular field are in the ratio 5 : 3 respectively.
Area of rectangular field = 2160 m

Let the length and breadth of a rectangular field be 5x and 3x respectively.

Find the dimension a rectangular field :-

We know that,
Area of rectangle = Length × Breadth

=> 2160 = 5x × 3x
=> 2160 = 15x²
=> 2160/15 = x²
=> √144 = x = 12

Therefore,
Length = 5x = 5 × 12 = 60 m
Breadth = 3x = 3 × 12 = 36 m


Answer : The length and breadth of a rectangular field are 60 m and 36 m respectively.