Question

If each of the dimensions of a rectangle is incresed by 100%, then the area is increased by​

Answer 1

Answer:

$Let \: the \: original \: l\:length \: of \: rectangle$

be.L,breadth be B and area be A

A=L×B=LB

New length,L1=L+100%L

=L+100L100

=L+L=2L

New breadth,B1=B+100%B

=B+100B100

=B+B=BL

New Area,A1=L1×B1=2L×2B=4LB

Change in area=A1−A

=4LB−LB=3LB

Increase in area in percent

=Change in area Original area×100

=A1−AA×100

=3LBLB×100

=300%

therefore area increases by =300%

Step-by-step explanation:

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