Question

The area of rectangular plot is 2400 square meters and the sides are in the ratio 3:2. What is the perimeter?

Answer 1

If side is x
Then both side is 3x and 2x respectively
3x × 2x = 2400
6 x^2 = 2400
X = 20

Know 2{(3×20) +(2×20)}
200 meters

Answer 2

Answer:

200 meters.

Step-by-step explanation:

Given that the area of a rectangular plot is 2400 square meters.

Now, we know that, if the length of a rectangle is L and its breadth is B, then its area will be given by, Area =LB. ........ (1)

Given that the ratio of length to breadth of the rectangular plot is 3:2.

Let us assume, L=3x and B =2x and then from equation (1),  

Area=(3x)(2x)= 2400

⇒ 6x² =2400

⇒ x²=400

⇒ x=20

Hence, the length (L) =3x =3×20 =60 meters

and breadth (B) =2x =2×20 = 40 meters.

Therefore, the perimeter of the rectangular plot is 2(L+B)= 2(60+40) =200 meters. (Answer)