The length and breadth of a rectangle are in ratio 2:1. If the length is increased by 2 cm and breadth is increased by 3 cm, then the ratio
of the perimeter of the original rectangle to the perimeter of the new rectangle is 4:3. Find the dimensions of the original rectangle. NO IRRELEVANT ANSWERS, OTHERWISE I WILL REPORT
of the perimeter of the original rectangle to the perimeter of the new rectangle is 4:3. Find the dimensions of the original rectangle. NO IRRELEVANT ANSWERS, OTHERWISE I WILL REPORT
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Answer:
(CONTRARY)
Case i ( 40/3 ) x ( 20/3 )
Case ii ( 8/3 ) x ( 4/3 )
Case iii ( 10 ) x ( 5 )
Step-by-step explanation:
Let the length be 'l' and the breadth be 'b'
Given
l : b = 2 : 1
Now Let the new length be 'L' and 'B'
Given
L = l + 2
B = b +3
Formula: Perimeter of a rectangle = 2 ( Length + Breadth)
Now
Perimeter of old rectangle say 'p' = 2 ( l + b )
Perimeter of new rectangle say 'P' = 2 ( L + B )
Given
p : P = 4 : 3
=> 2 ( l + b ) : 2 ( L + B ) = 4 : 3
=> ( l + b ) : ( L + B ) = 4 : 3
=> ( l + b ) : ( l + 2 + b +3 ) = 4 : 3
=> ( l +b ) : ( l + b + 5 ) = 4 : 3
In this case length is 8/3 m breadth is 4/3 m
Case iii
P : p = 4 : 3
=> ( l + b + 5 ) : ( l + b ) = 4 : 3