Question

the length and bredth of a rectangular field are in the ratio 3:2 and uts perimeter is 250 m. find the area of the field.​

Answer 1

Answer:

3750 $m^2$

Explanation:

Let the ratio be 3x:2x.

Perimeter of rectangle = 2(l+b)

Given Perimeter = 250 m

=> 250 = 2(3x+2x)

=> 250/2 = 5x

=> 5x = 125

=> x = 25

Hence, the length and breadth of the rectangle are 75 m and 50 m.

Area of field = 75 * 50 $m^2$ = 3750 $m^2$

Answer 2

Answer :-

Area of Rectangle = 3750 sq.m.

Explanation :-

Given :

• The length and breadth of a rectangular field are in the ratio 3 : 2.

• Perimeter of Rectangle is 250 m.

To Find :

• Area of field.

Solution :

For Calculating Area, We have to calculate the dimensions first.

So,

Let the dimensions be 3x and 2x.

And, We know that,

Perimeter of Rectangle = 2(l + b).

Substitute the values.

⇒ 2(3x + 2x) = 250.

⇒ 2(5x) = 250.

⇒ 10x = 250.

⇒ x = 250 ÷ 10.

⇒ x = 25.

Hence,

• Length of Rectangle = 3x = 75 m.
• Breadth of Rectangle = 2x = 50 m.

Now, Let's Calculate Area.

Area of Rectangle = l × b.

⇒ Area of Rectangle = 75 × 50.

⇒ Area of Rectangle = 3750 sq.m.

Therefore, Area of Rectangle = 3750 sq.m.