Question

the ratio of the length and the breadth of a rectangle is 4:3 and the area of the rectangle is 6912

Answer 1

Let
Length= 4x
breadth =3x
A/Q
4x X 3x = 6912
x= √576
x= 24
So,
Length= 96
breadth= 72
Thanks

Answer 2

Hello,


Let the length of the rectangle be x and breadth of the rectangle be y

So,
Area of the rectangle = 6912
Or,
$xy = 6912........(1)$
Now,

Given that they are in a ratio of 4:3

So,
$\frac{x}{y} = \frac{4}{3} \\ \\ x = \frac{4y}{3} .........(2)$
So,

Putting (2) in equation (1)

We get

$xy = 6912 \\ \\ \frac{4y}{3} \times y = 6912 \\ \\ \frac{4 {y}^{2} }{3} = 6912 \\ \\ 4 {y}^{2} = 6912 \times 3 = 20736 \\ \\ {y}^{2} = \frac{20736}{4} \\ \\ y = \sqrt{ \frac{20736}{4} } \\ \\ y = \frac{144}{2} = 72$
So,

Breadth of the rectangle is equal to 72 m

Now

Putting the values in equation (1) to get the value of x

$x = \frac{6912}{y} = \frac{6912}{72} = 96 \: m$
So,


The value of the length is 96 m



Hope this will be helping you.....