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How Many Tiles, Each of Area 625 Cm2, Will Be Needed to Pave a Footpath Which is 1 M Wide and Surrounds a Grass Plot of Size 38 M X 14 M? - Mathematics

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Question

How many tiles, each of area 625 cm2, will be needed to pave a footpath which is 1 m wide and surrounds a grass plot of size 38 m x 14 m?

Sum
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Solution

Area of grassy plot
= 38 x 14
= 532m2
Length of a grass plot with footpath = 38 + 2 = 40m
Width of a grass plot with footpath = 14 + 2 = 16m
∴ Area of the grass plot with footpath = 40 x 16 = 640m2
 Area of the footpath  = Area of the grass plot with footpath - Area of grassy plot
= (640 - 532)m2
= 180m2
= 1080000m2
Area of each title = 625cm2
∴ Number of titles

= `"Area of the footpath"/"Area of each title"`

= `(1080000)/(625)`
= 1728.

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Chapter 24: Perimeter and Area - Exercise 24.2

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Frank Mathematics [English] Class 9 ICSE
Chapter 24 Perimeter and Area
Exercise 24.2 | Q 40
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