Question

11. A rectangular field has a path 5 m wide running round it. If the rectangle formed by the path and the field is 200 m x 60 m, find (i) the area of the path, and (ii) the cost of constructing the path at 15 per 10 m find the area of the path m2 ​

Answer 1

Answer:

Area of Path = 2500 m²

Step-by-step explanation:

Given:

Path length =5 m

Length ( With Path )   = 200m

Breadth ( With Path ) = 60m

Area of Rectangle ( With Path ) = l * b

                                                    = 200m * 60m

                                                    = 12000m²

2*5 means = path length two time in rectangle have 2 length & breadth

Length ( Without Path )   = 200m -(2*5) = 190m

Breadth ( Without Path ) = 60m - (2*5) = 50m

Area of Rectangle ( Withou Path ) = 190m * 50m

                                                        = 190m * 50m

                                                        = 9500m²

$Area of Path = Area of Rectangle ( With Path ) - Area of Rectangle ( Withou Path )$

                    = 12000 m² - 9500 m²

                    = 2500 m²

                                          Ans.