Question

The length and the breadth of a rectangular Park are in the ratio 8 ratio 5 a path 1.5 metre wide running all around the outside of the park has an area of 594 square find the dimensions of the park.

Answer 1

Step-by-step explanation:

new length =8x+1.5

new breadth =5x+1.5

(8x+3)(5x+3)=594

40xsq+24x+15x+9=594

40xsq+39x-585=0

Answer 2

Step-by-step explanation:

Let the length and breadth be 8x and 5x

Area of the rectangular field = LB = 40x²

Length of internal portion = 8x - 2*1.5 = 8x*3 = 24x

Breath of internal portion = 5x - 2*1.5 = 5x*3 = 15x

Area of internal portion = L*B = 24x * 15x = 360x²

=> 40x² = 360x²

=> x² = 360x²/ 40

=> x² = 8x²

=> 8 = x²/x²

Now, length = 8 * 8 = 64 m

and breadth = 5 * 8 = 40 m

I hope that I helped you in a little way and I think that I tried my level best...

It may be wrong... I don't know but plz forgive me...