3. Length of a rectangle is 16 cm less than twice its breadth. If the perimeter of the rectangle is 100 cm, find its length and breadth.
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Answer:
length = 28 and breadth = 22
Step-by-step explanation:
Note:
Perimeter = 2 ( length + breadth )
Let the breadth of the rectangle be ' x '
.°. Length = 2x - 16
( 16 cm less than twice its breadth )
Perimeter = 100
=> 2 ( 2x - 16 + x ) = 100
=> 2 ( 3x - 16 ) = 100
=> 6x - 32 = 100
=> 6x = 100 + 32
=> 6x = 132
=> x = 132/6
=> x = 22 = breadth
length = 2x - 16
=> 2 ( 22 ) - 16
=> 44 - 16
=> length = 28
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