Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the sides of the figures
(1)
The figure has 5 congruent sides , then perimeter P
P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5
= 2x + 5
(2)
There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then
P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4
= 10x - 4y + 8y ← collect like terms
= 10x + 4y
(3)
P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis
= 2a - b + 3b + 2a ← collect like terms
= 4a + 2b
