Question

Can someone help please ?

Answer 1

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.

Explanation:

1. Trapezoid Perimeter

Side1 a: 9x+4

Side2 b: 7x+8

Side3 c: 12x-2

Side4 d: 7x+8

The formula used is:
`Perimeter=a+b+c+d`

Putting values and finding perimeter

`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`

So, perimeter = 35x+18

Option F is correct.

2. Square Perimeter

Side of square = 4x-8

The formula used is:
`Perimeter=4a`

where a is side of square

Putting values in formula

`Perimeter=4a\\Perimeter=4(4x-8)\\Perimeter=16x-32`

So, perimeter of square = 16x-32

Option C is correct.

3. Pentagons perimeter

Side of pentagon= 2x-4

The formula used is:
`Perimeter=5a`

where a is side of pentagon.

Putting values in formula

`Perimeter=5a\\Perimeter=5(2x-4)\\Perimeter=10x-20`

So, perimeter of Pentagon = 10x-20

Option A is correct.

4. Rhombus perimeter

Side of Rhombus=7x+2

The formula used is:
`Perimeter=4a`

where a is side of rhombus

Putting values in formula

`Perimeter=4a\\Perimeter=4(7x+2)\\Perimeter=28x+8`

So, perimeter of Rhombus = 28x+8

Option H is correct.