Question

the length and breadth are in the ratio 5:12 .If the perimeter of the rectangle is 102m find the area of the rectangle

Answer 1

Answer:

Hello guys

Step-by-step explanation:

By finding the value of length and breath we can find area

Hope you will understand easily

Thank u

Answer 2

Let the Length be 5x

Breadh = 12x .

Given :

Perimeter = 102m

We know that,

$\boxed{\bold{Perimeter = 2\times ( l + b )}}$

according to the question,

$\implies\bold{2\times ( l + b) = 102m}$

Solve the Left hand side firstly ,

$\implies\bold{2\times ( 5x + 12x ) = 102m}$

$\implies\bold{2\times ( 17x ) = 102m}$

$\implies\bold{34x = 102m}$

Shift 34 to the Right hand side ,

$\implies\bold{x = \dfrac{102m}{34}}$

$\implies\bold{x = 3m}$

We know the value of x = 3m , then find the length and breadth of the rectangle,

$\therefore{length = 5x = 5\times 3m = 15m}$

$\therefore{Breadth = 12x = 12\times 3m = 36m}$

we know that ,

$\boxed{\bold{area = length\times breadth. }}$

Let find the area of rectangle ,

$\implies\bold{area = 15m × 36m = 540 {m}^{2}}$

$\therefore{Area\:of\:the\:rectangle\:is\:540{m}^{2}}$