14 Tanya has bought a carpet of size 4m x 65m. But her room size is
2
1 1
3
m x 5
m. What fraction of the area of the carpet should be cut off to
3 3
fit the carpet wall to wall in the room?
Answers
Step-by-step explanation:
Given:
Tanya has bought a carpet of size 4 m × (20/3) m
Her room size is (10/3) m × (16/3) m
To find:
The fraction of area that should be cut off to fit wall to wall carpet into the room
Solution:
Formula to used:
Area of rectangle = length × breadth
Using the formula, we have
The area of the carpet that Rita had bought = [4 × \frac{20}{3}
3
20
] m² = \frac{80}{3}\: m^2
3
80
m
2
and
The area her room = [\frac{10}{3}
3
10
× \frac{16}{3}
3
16
m² = \frac{160}{9}\:m^2
9
160
m
2
Now,
The fraction of area of the carpet that should be cut off is,
= [Area of the carpet ] - [Area of the room]
= \frac{80}{3}\: m^2
3
80
m
2
- \frac{160}{9}\:m^2
9
160
m
2
= \frac{240\:-\:160}{9} \:m^2
9
240−160
m
2
= \bold{\frac{80}{9}\:m^2}
9
80
m
2
Thus, \frac{80}{9}\:m^2
9
80
m
2
of area should be cut off from the carpet to fit wall to wall into the room.
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