Answer:
1. perimeter of Trapezoid = 35x+18
Option F is correct.
2. perimeter of square = 16x-32
Option C is correct.
3. perimeter of Pentagon = 10x-20
Option A is correct.
4. perimeter of Rhombus = 28x+8
Option H is correct.
Step-by-step explanation:
1. Trapezoid Perimeter
Side1 a: 9x+4
Side2 b: 7x+8
Side3 c: 12x-2
Side4 d: 7x+8
The formula used is: [tex]Perimeter=a+b+c+d[/tex]
Putting values and finding perimeter
[tex]Perimeter=a+b+c+d\\Perimeter=9x+4+7x+8+12x-2+7x+8\\Perimeter=9x+7x+12x+7x+4+8-2+8\\Perimeter=35x+18[/tex]
So, perimeter = 35x+18
Option F is correct.
2. Square Perimeter
Side of square = 4x-8
The formula used is:[tex]Perimeter=4a[/tex]
where a is side of square
Putting values in formula
[tex]Perimeter=4a\\Perimeter=4(4x-8)\\Perimeter=16x-32[/tex]
So, perimeter of square = 16x-32
Option C is correct.
3. Pentagons perimeter
Side of pentagon= 2x-4
The formula used is:[tex]Perimeter=5a[/tex]
where a is side of pentagon.
Putting values in formula
[tex]Perimeter=5a\\Perimeter=5(2x-4)\\Perimeter=10x-20[/tex]
So, perimeter of Pentagon = 10x-20
Option A is correct.
4. Rhombus perimeter
Side of Rhombus=7x+2
The formula used is:[tex]Perimeter=4a[/tex]
where a is side of rhombus
Putting values in formula
[tex]Perimeter=4a\\Perimeter=4(7x+2)\\Perimeter=28x+8[/tex]
So, perimeter of Rhombus = 28x+8
Option H is correct.
