Question

ind the area of the playground. 10 m M length of a rectangular field is increased by 50% and its breadth is decreased by 50% to form a new angular field. Find the percentage change in the area of the field.​

Answer 1

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+ a/2

= 3a/2

New width =b−50% of b

=b− b/2

=b/2

New Area = 3a/2÷b/2

= 3ab/4

Decrease in Area =ab− 3ab/4

= ab/4

% of Decrease in Area =[ ab/4×100]/ab

= 100÷4

= 25 %

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