Question

the sides of the reactangle in the ration 4 : 3 and its area is 768 sq m.find the perimeter of reactangle​

Answer 1

Answer:

length of rectangle = 4x

breadth. : .... = 3x

Area=4xx 3x = 768

12x^2 =768

x^2 = 768/12=64

x =v64=8

length 4x=32m

breadth=3x=24m

Perimeter=2(l+b) = 2(32+24)

= 2x56=116m

Answer 2

Solution:

Ratio of the sides of the rectangle : 4:3

Let, the length of the rectangle be : 4x

breadth of the rectangle be : 3x

Area of the rectangle : 768 c.m. sq.

We know, [Formulae given below:]

Area of rectangle : l x b

[Note: 'l' denotes length and 'b' denotes breadth.]

According to the Question [A.T.Q:]:

4x x 3x = 768

=> 12x sq. = 768

=> x sq. = 768/12

=> x = √64

=> x = 8

Hence, we've got the value of x which is 8.

Let's do the real answer.

If value of x is 8,

Length of the rectangle : 4 x 8 = 32 c.m.

Breadth of the rectangle : 3 x 8 = 24 c.m.

We know,

Perimeter of rectangle : 2[l+b]

[Note: 'l' denotes length and 'b' denotes breadth.]

Hence,

2[32+24]

= 2[56]

= 112 c.m.

Required Answer:

Therefore, the perimeter of the rectangle is 112 centimetres.