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

1.	9. The length and the breadth of a rectangular park are in the ratio s: 5. A path 1.5 m wide, running allaround the outside of the park has an area of 594 m2. Find the dimension of the park.8x1.5 m5xh and hrradth of the plot be 8x and 5x metres respectively. Then
Answer» Let length of park = 8xbreadth of park = 5x Area of park Ap = 8x5x = 40x^2 Area of region including path Ao = (8x + 3)(5x + 3) Area of path = 594 m^2 Ao - Ap = 594(8x + 3)(5x + 3) - 40x^2 = 59440x^2 + 39x + 9 - 40x^2 = 59439x = 594 - 939x = 585x = 585/39 = 15 Dimension of park:Length = 8x = 815 = 120 mBreadth = 5x = 515 = 75 m

9. The length and the breadth of a rectangular park are in the ratio s: 5. A path 1.5 m wide, running allaround the outside of the park has an area of 594 m2. Find the dimension of the park.8x1.5 m5xh and hrradth of the plot be 8x and 5x metres respectively. Then

Answer»

Let length of park = 8xbreadth of park = 5x

Area of park Ap = 8x*5x = 40x^2 Area of region including path Ao = (8x + 3)*(5x + 3)

Area of path = 594 m^2 Ao - Ap = 594(8x + 3)(5x + 3) - 40x^2 = 59440x^2 + 39x + 9 - 40x^2 = 59439x = 594 - 939x = 585x = 585/39 = 15

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