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Question

The floor of hall of dimensions 18m by 11m is to be covered with a 150 cm wide carpet leaving a space of 1.50 m all around . Calculate the length of carpet required.

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Solution

Answer :

Given : Dimension of floor = 18 m by 11 m
And
Width of carpet = 150 cm = 1.5 m ( As we know 1 m = 100 cm )
And
Carpet leaving a space of 1.50 m all around , So
Dimension of carpet = ( 18 - 1.50 - 1.50 ) m by ( 11 - 1.50 - 1.50 ) m 15 m by 8 m
So,
Area of carpet = 15 ​× 8 = 120 m2
Let length of carpet required = x , So

width of carpet ​× Length of carpet = 120

1.50x = 120

x = 80
So,
Length of capet required = 80 m ( Ans )

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