Find the perimeter of the given figure ABCDEF.
Answers
Answer:
10x+4y.
Step-by-step explanation:
Perimeter= Sum of all sides.
= 4(x+2y) + 2(3x-2y)
=4x+8y+6x-4y
=10x+4y.
Hope it is helpful for you....
Answer:
Perimeter of ABCDEF = 10x+4y
Step-by-step explanation:
Perimeter: It is the sum of all sides of an closed path or figure (in mathematics, generally polygons).
In the given Figure ABCDEF,
AB= 3x-2y
BC=x+2y
CD=x+2y
DE=3x-2y
EF=x+2y
FA=x+2y
As we know that perimeter is sum of all the sides,
Perimeter of ABCDEF= AB+BC+CD +DE +EF+FA
= 3x-2y+x+2y+x+2y+3x-2y+x+2y+x+2y
= 2×(3x-2y)+ 4×(x+2y)
= 6x-4y+ 4x+8y
Perimeter of ABCDEF= 10x+4y
Therefore, perimeter of the given figure ABCDEF= 10x+4y