Question

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​

Answer 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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