Question

5 A floor is 18 m by 16 m. A carpet is placed in its centre
so that an equal width of uncovered floor remains all the
way around the carpet. The area of the floor remaining is
120 m2. Find the dimensions of the carpet.
Hint: Let the remaining strip of floor have width x m.

Answer 1

Answer:

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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

Answer 2

Answer:

5 A floor is 18 m by 16 m. A carpet is placed in its centre

so that an equal width of uncovered floor remains all the

way around the carpet. The area of the floor remaining is

120 m2. Find the dimensions of the carpet.

Hint: Let the remaining strip of floor