If the length of a rectangle is increased by 16%and width decrease by 25% then the area?
Answers
Answer:
Correct option is
A
37
2
1
%
Let length of rectangle =100 m
breadth =100 m
Original Area =100×100=10000m
2
New length =160 m
Let new breadth =x
New Area =160x
Since area of rectangle remains same
∴10000=160x
∴x=
2
125
Decrease in breadth =(100−
2
125
)%
=37.5%
Answer:
percentage change in area = 13 %
Given:
increase in the length of a rectangle = 16%
decrease in the width of the rectangle = 25%
To find:
percentage change in the area
Solution:
let initial length and breadth be 200 and 100 units respectively.
so, initial area = L x B
200 x 100 = 20,000
now,
increase in the length of a rectangle = 16%
final length = 200 + (16 /100 x 200)
final length = 200 + 32
final length = 232 units
decrease in the width of the rectangle = 25%
final breadth = 100 - (25 / 100 x 100 )
final breadth = 100 - 25
final breadth = 75
final area = final length x final breadth
final area = 232 x 75
= 17,400 units.
change in area = (initial area - final area / initial area) x 100
change in area= (20,000 - 17,400 / 20,000) x 100
change in area= 13 %
Hence, 13% is the correct answer.
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