Question

the length of rectangular field is increased by 50%and breadth is decreased by 50% to form a new rectangular field. find the percentage change in the area of the field. ( Ls mensuration plane figures)

Answer 1

Let the initial Length be y meters and breadth be z meters.

Initial Area = yz meter^2

Final length = (150/100) x y .

= $\frac{ 3y }{ 2 }$

Final Breadth = (50/100) x z.

= $\frac{z}{2}$

Final area = 3yz/4

Percentage decrease = [tex] \frac{ yz - (\frac{3yz}{4}) }{yz} [/tex] x 100 = 25%


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