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Standard X
Mathematics
Similar Figures
area of the 4...
Question
area of the 4 walls of a hall is 5520 m sq.if the height and length of the room are in the ratio of 3:4 and the height and breadth in the ratio 5:1 then find the area of the floor
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Solution
Let
l
,
b
and
h
be
the
length
,
breadth
and
height
of
the
room
.
Now
,
h
l
=
3
4
⇒
l
=
4
h
3
.
.
.
.
.
1
Now
,
h
b
=
5
1
⇒
h
=
5
b
.
.
.
.
.
.
2
Now
,
from
1
,
we
get
l
=
20
b
3
Now
,
area
of
4
walls
=
5520
m
2
⇒
2
l
+
b
h
=
5520
⇒
20
b
3
+
b
5
b
=
2760
⇒
23
b
3
×
5
b
=
2760
⇒
b
2
=
2760
×
3
23
×
5
=
72
⇒
b
=
6
2
m
Now
,
l
=
20
b
3
=
20
3
×
6
2
=
40
2
m
area
of
floor
=
l
×
b
=
40
2
×
6
2
=
480
m
2
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