The length of a rectangular field is increased by 30% and the breadth is is decreased by 50%, what will be the change in area of the new field
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Step-by-step explanation:
Let length be a, breadth be b. The area is ab. Now the length is increased by 30%. The new length becomes (a+30a/100)=130a/100=13a/10. Similarly, the breadth is lowered by 50%. Now the new breadth becomes(b-40b/100)=60b/100=3b/5 . The area becomes(13a/10)×3b/5=ab×39/50. So the area decreased by(ab-ab×39/50)=ab(50-39)/50=11ab/50. Which is 100× 11/50=22%. So area will be decreased by 22%.
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