Question

A garden is 26m long and 16 m wide there is a path 1 m wide outside the garden along its sides . If the path is to be constructed with square tiles 20cm×20cm,find the no of tiles required to cover the path

Answer 1

Step-by-step explanation:

Area of the garden

= ( 26 × 16 ) m

= 416 m ²

Length of the garden after path is added around the garden

= ( 26 + 2 × 1 ) m

= ( 26 + 2 ) m

= 28 m

Breadth of the garden after path is added around the garden

= ( 16 + 2 × 1 ) m

= ( 16 + 2 ) m

= 18 m

Area of the garden after the path is added around the garden

= 28 × 18

= 504 m ²

Area of the path

= Area of the garden after the path is added - Area of the garden without the path

= ( 504 - 416 ) m²

= 88 m ²

Now,

Area of the tiles

= 20 × 20

= 400 cm ²

= 4 m ² ( 100 cm = 1 m )

No. of the tiles required

= Area of the path ÷ area of the tiles

= 88 ÷ 4

= 22 Ans.