3. The length of a rectangular field is increased by 50% and its breadth
is decreased by 50% to form a new rectangular field. Find the
percentage change in the area of the field
wide. From its four comers, quadrants
Answers
Answered by
1
Step-by-step explanation:
ANSWER
Let the length of rectangle be a
And width of rectangle be b
Area =ab
Now,
New length =a+50 % of a
=a+
100
50a
=a+
2
a
=
2
3a
New width =b−50% of b
=b−
2
b
=
2
b
New Area =
2
3a
×
2
b
=
4
3ab
Decrease in Area =ab−
4
3ab
=
4
ab
% of Decrease in Area =[
4
ab
×100]/ab
=
4
100
= 25 %
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