Question

A garden is 24m long and 14m wide.There is a pah 1m wide outside the garden along its sides.If the path is t be constructed with square marble tiles 20*20 cm 2,What is the number of tiles required to cover a path?

Answer 1

for complete solution please see the attached screenshot

Answer 2

2000 tiles are required to cover the path.

Step-by-step explanation:

Refer to the attached image to see the required diagram.

Step 1. Finding area of the garden

Length of the garden = 24 m = 2400 cm

Width of the garden = 14 m = 1400 cm

Then area of the garden

= 2400 × 1400 square cm

= 3360000 square cm

Step 2. Finding area of the field with the path together

Length of the field with the path

= (24 + 2 × 1) m = 26 m = 2600 cm

Width of the field with the path

= (14 + 2 × 1) m = 16 m = 1600 cm

Then area of the field with the path

= 2600 × 1600 square cm

= 4160000 square cm

Step 3. Finding area of the path

Area of the path

= area of the field with the path - area of the garden

= 4160000 - 3360000 square cm

= 800000 square cm

Step 4. Finding area of each square tile

Area of each square marble tile

= 20 × 20 square cm

= 400 square cm

Step 5. Finding number of marble tiles

Number of marble tiles required

= area of the path ÷ area of each square tile

= 800000 ÷ 400

= 2000

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