The length and breadth of a rectangle are 20cm and 50cm respectively. The length was increased by 10% and breadth has been reduced by 10%. Find the difference of the area of rectangle.
Answers
Answer:
suppose you have a rectangular plate of length 40cm and breadth 20 cm , now you apllied force (stretch) the plate outward direction,what happen is that the length will increase and breadth will decrease.(imagine a situation).
so initial area of the rectangle(Ai) = (40×20) cm^2 =800cm^2
after stretching the plate- final length will be (L) = 25% of initial length=40+25%of 40= 50cm. ………………..(1)
now let breadth is decreasing by x%
so,final breadth will be( B) =(20-x%of 20)…….(2)
final area of the streched rectangle (Af)= (1) ×(2)= 50×(20-x%of 20)= 50×(20-x/5)……………..(3)
a/c the initial and final area should be same
hence, Ai=Af
》800=50×(20-x/5)
》800/50=20-x/5
》16=20-x/5
》x=20
Hence,when length is increased by 25 % ,the breadth should be deacreased at the same time by 20%
Thankyou!
Step-by-step explanation:
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