Question

a 4m wide path runs outside and around a rectangular park of length 135m and breath 55m . find the area of the path​

Answer 1

Answer :

1,298 m²

Given :

Length of rectangular park = 135m, breadth of rectangular park = 55m and width of the path = 4m

Solution : $\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\framebox(8,5)}\put(1,1){\framebox(6,3)}\put(1.5,1.1){\vector(0,1){2.8}}\put(1.5,1.1){\vector(0,-1){0}}\put(1.9,1.3){\vector(1,0){5}}\put(1.9,1.3){\vector(-1,0){0}}\put(4,0.1){\line(0,1){0.8}}\put(4.01,0.1){\vector(0,-1){0}}\put(4.01,0.9){\vector(0,1){0}}\put(0.1,2){\vector(1,0){0.8}}\put(0.1,2){\vector(-1,0){0}}\put(-0.5,-0.5){\bf A}\put(8.3,-0.5){\bf B}\put(8.3,5.2){\bf C}\put(-0.5,5.2){\bf D}\put(0.6,0.5){\bf E}\put(7.2,0.5){\bf F}\put$

Length of rectangular park with path = 135 + 4 + 4 = 143 m

Breadth of rectangular park with path = 55 + 3 + 3 = 61 m

∴ Area of path = Area of park with path − Area of park without path

= (AB × AD) − ( EF × EH )

= (143 x 61) - (135 x 55) m

= 8723 - 7425 m

= 1,298 m²