The length of a rectangular feild is increased by 50% and it's breadth is decreased by 50% to form a new rectangular feild. Find the percentage change in the area of feild.
Answers
Answered by
1
Answer:
Let the length of rectangle be a
And width of rectangle be b
Area =ab
Now,
New length =a+50 % of a
=a+10050a
=a+2a
=23a
New width =b−50% of b
=b−2b
=2b
New Area =23a×2b
=43ab
Decrease in Area =ab−43ab
=4ab
% of Decrease in Area =[4ab×100]/ab
= 4100
= 25 %
Answered by
0
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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