Question

The length and the breadth of a rectangular field are in the ratio 5 : 3. If its perimeter is 128 m, find the dimensions of the field.

Only:
Moderators
Brainly stars
Maths Aryabhatta
Other best users
​

Answer 1

As per data given in the question,

We have to determine the value of length and breadth of the rectangle.

As we know that,

The perimeter of rectangle = 2(l+b)

Let the length and breadth of rectangle = 5x and 3x respectively.

So,

$2(5x+3x) = 128\\=> 2\times 8x = 128\\=> 16x = 128\\=> x = \frac{128}{16} = 8$

Hence, length and breadth of rectangle will be,

$=5x = 40 \: m \: and \: 3x = 24\: respectively.$

Answer 2

Given that:- The ratio for length and the breadth of a rectangular field is $5 : 3.$

To find:- Dimensions of the field,

As we know that,

Perimeter of rectangle $=2(l+b)$

Let, the length and breadth of the rectangle be $5x$ and $3x$ respectively,

Now, plug the given values in the formula,

$=>2(5x+3x)=128$

$=>2*8x=128$

$=>16x=128$

$=>x=\frac{128}{16}$

$=>x=8$