A carpet of size 5m x 2m has 25 cm red border. The inner part of the carpet is
blue In colour. Find the area of the blue portion. What is the ratio of the red portion
to blue portion ?
(4)
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Answer:
Given, size of carpet
=
5
×
2
m
2
and width of border
=
25
cm
=
25
100
=
0.25
m
∴
Area of carpet
A
B
C
D
=
A
B
×
B
C
=
5
×
2
=
10
m
2
because area of rectangle
=
length
×
breadth.
So, length of inner blue portion,
E
F
=
A
B
−
(
2
×
0.25
c
m
)
=
5
−
0.50
=
4.5
m
and breadth of inner blue portion
F
G
=
B
C
−
(
2
×
0.25
)
=
2
−
0.50
=
1.5
m
Area of blue portion
=
Area of rectangle
E
F
G
K
=
E
F
×
F
G
=
4.5
×
1.5
=
6.75
m
2
Now, area of red porion
=
Area of
A
B
C
D
−
Area of
E
F
G
H
=
10
−
6.75
=
3.25
m
2
∴
Ratio of areas of red portion to blue portion
=
3.25
:
6.75
=
13
:
27
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