9. The length and the breadth of a rectangular park are in the ratio 8

1.	9. The length and the breadth of a rectangular park are in the ratio 8 :5. A path 1.5 m wide, running allaround the outside of the park has an area of 594 m2. Find the dimensions of the park8x1.5 m5x
Answer» Let Reactangle length = 8x andbreadth = 5xOuter area length = 8x + 3Outer area breadth = 5x + 3 Area of path = (8x+3)(5x+3) - 8x5x594 = 40x^2 + 24x + 15x +9 - 40x^239x = 594-9 = 585x = 585/39 = 15 Length of park = 815 = 120 mBreadth of park = 5*15 = 75 m

9. The length and the breadth of a rectangular park are in the ratio 8 :5. A path 1.5 m wide, running allaround the outside of the park has an area of 594 m2. Find the dimensions of the park8x1.5 m5x

Answer»

Let Reactangle length = 8x andbreadth = 5xOuter area length = 8x + 3Outer area breadth = 5x + 3

Area of path = (8x+3)(5x+3) - 8x*5x594 = 40x^2 + 24x + 15x +9 - 40x^239x = 594-9 = 585x = 585/39 = 15

Length of park = 8*15 = 120 mBreadth of park = 5*15 = 75 m