Determine an expression for the perimeter of the following shape. For full marks, evidence of work MUST BE SHOWN.

Perimeter=8x +34

Step-by-step explanation:

The only missing side if the shape is the slant side .

To determine the slant height we'll use the right angle rule and take the slant side as the hypotenuse.

For the slant side, let it be y

(2(x+7) -(x+5 +x-3))² +((2x+5)-(2x))²= y²

(2x+14-2x-2)² + (5)² = y²

(12)² +25 = y²

144+25 = y²

169= y²

Y= √169

Y= 13

Now the perimeter= 2(x+7)+(2x+5)+(x-3)+(2x)+(x+5)+13

Perimeter= 2x+14+2x+5+x-3+2x+x+5+13

Perimeter=8x +34

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )