Question

A path of uniform width of 4m runs around the outsidebof a rectangular fileldn24m by 18m. Find the area of tge path.​

Answer 1

Answer:

Step-by-step explanation:

Length of the field = 24 m

Width of the field = 18 m

A path of uniform width of 4 m runs around the field

So we can say that length of path = 24 + 4 + 4

                                                           = 32 m

And width of path = 18 + 4 + 4

                                = 26 m

HERE WE HAVE ADDED 4 TWICE BECAUSE THE PATH IS TO BE EXTENDED BY 4 M ON BOTH RIGHT AND LEFT SIDE .

So area of path = ares of path and field combine - area of field

                           = 2 ( L + B ) - 2 ( l + b )

                           = 2 ( 32 + 26 ) - 2 ( 24 + 18 )

                           = 2 ( 58 ) - 2 ( 42 )

                           = 116 - 84

                           = 32 m²

So the area of the path is 32 m²