Area of Pentagons?

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1 Answer
CW
May 10, 2017

width #=4x=4xx10=40cm#

Explanation:

As the two pentagons are similar, their corresponding sides are in the same ratio.

#=> (4x)/48=x/(x+2)#
#=> 4x(x+2)=48x#
#=> 4x^2+8x=48x#
#=> 4x^2-40x=0#
#=> 4x(x-10)=0#
#=> x=0, or 10#
As #x!=0#,
#=> x=10#

Hence, width of the badge =#4x=4xx10=40# cm

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