Area of Pentagons?

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1 Answer
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