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area of a triangle x1 unit sqaure,if the sides are doubled new area becomes x2. x1/x2=1:4 .Find the percentage increase in the area.

Asked by binodbharali 14th June 2016, 10:27 AM
Answered by Expert
Answer:
Original space area space of space the space triangle space equals space space straight X subscript 1 space square space units.
New space area space of space the space triangle space equals space straight X subscript 2 space square space units.

Increase space in space the space area space of space the space triangle space equals space straight X subscript 2 minus straight X subscript 1........... left parenthesis 1 right parenthesis

Given space that comma
straight X subscript 1 over straight X subscript 2 equals 1 fourth
4 space straight X subscript 1 space equals space space straight X subscript 2.............. left parenthesis 2 right parenthesis

Sbustitute space equation space left parenthesis 2 right parenthesis space in space equation space left parenthesis 1 right parenthesis space we space get

Increase space in space the space area space space of space the space triangle space equals space 4 straight X subscript 1 minus straight X subscript 1 space equals 3 straight X subscript 1

Percentage space increase space in space the space area space
equals space fraction numerator Increase space in space the space area space of space the space triangle over denominator Original space area space of space the space triangle end fraction cross times 100
equals fraction numerator 3 straight X subscript 1 over denominator straight X subscript 1 end fraction cross times 100
equals 300 percent sign


The space percentage space increase space in space the space area space is space 300 percent sign.
Answered by Expert 14th June 2016, 11:11 AM
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