Asked by pawan
The area of a rectangle remains unchanged when it is made 5cm shorter and 5cm wider or when it is made 2cm longer and 1cm narrower. Its area, in square cm, is:
Answers
Answered by
drwls
LW = (L+5)*(W-5)
LW = LW + 5W -5L -25
5L - 5W = 25
(L +2)(W-1) = L W
-L + 2W = 2
-5L +10W = 10
Combining equations 3 and 6,
5W = 35
W = 7
L = 2W-2 = 12
Area = 84 cm^2
LW = LW + 5W -5L -25
5L - 5W = 25
(L +2)(W-1) = L W
-L + 2W = 2
-5L +10W = 10
Combining equations 3 and 6,
5W = 35
W = 7
L = 2W-2 = 12
Area = 84 cm^2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.