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GIVEN THAT
Perimeter of the rectangular room = 64.
The length of the room is thrice its
breadth.
TO FIND
length and breadth of the room
FORMULA USED
Perimeter of rectangle = 2 ( L + B )
SOLUTION
Let the breadth be x. Then,
the length be 3x.
Perimeter of the rectangular room =
2(L + B)
2 ( 3x + x ) = 64
2 × 4x = 64
8x = 64
x = 64
8
x = 8
Now,
Breadth of the room = x = 8
Length of the room = 3x = 3 × 8 = 24
PROVE
We know, perimeter of rectangle =
2(L + B)
= 2 (24 + 8) = 64
= 2 × 32 = 64
64 = 64
Hence, proved
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