Question

the sides of rectangular field are in the ratio 9 ratio 7 and its perimeter is 144 find the sides​

Answer 1

Answer:

Sides = 40.5 and 31.5

Step-by-step explanation:

Given :

Ratio of the sides of the rectangular field = 9:7

Perimeter = 144

To find :

Their sides

Taken :

Let the sides be x .

So , to find the side of the rectangular field use this formula -:

$\boxed{\sf{2(L+B)=P}}$

Where,

L = Length

B = Breadth

P = Perimeter

Here taken length as 9x

And Breadth as 7x

After that multiply with the value of x with the ratio to find the length and breadth .

Solution :

$:\implies\sf{2(9x+7x)=144}$

$:\implies\sf{18x+14x=144}$

$:\implies\sf{32x=144}$

$:\implies\sf{x=\cancel{\dfrac{144}{32}}}$

$:\implies\sf{x=4.5}$

Length -:

$:\implies\sf{4.5\times9=40.5}$

Breadth -:

$:\implies\sf{4.5\times7=31.5}$

So , the sides or the length and breadth of the rectangle is 40.5 and 31.5 .