Find the perimeter of a rectangle if it measures 5 StartRoot 12 EndRoot inches on one side and 2 StartRoot 80 EndRoot inches on the other?

square roots

1 Answer
Jim G.
Nov 27, 2017

#"perimeter "=20sqrt3+16sqrt5#

Explanation:

#"the perimeter of a rectangle "=2l+2b#

#"where "l" is the length and "b" the breadth"#

#"let "l=5sqrt12" and "b=2sqrt80#

#"perimeter "=(2xx5sqrt12)+(2xx2sqrt80)#

#color(white)("perimeter ")=10sqrt12+4sqrt80to(color(red)(1))#

#color(blue)"simplify the radicals"#

#•color(white)(x)sqrt(ab)hArrsqrtaxxsqrtb"#

#sqrt12=sqrt(4xx3)=sqrt4xxsqrt3=2sqrt3#

#sqrt80=sqrt(16xx5)=sqrt16xxsqrt5=4sqrt5#

#"returning to "(color(red)(1))#

#"perimeter "=(10xx2sqrt3)+(4xx4sqrt5)#

#color(white)("perimeter ")=20sqrt3+16sqrt5#

Related questions
Impact of this question
674 views around the world
You can reuse this answer
Creative Commons License