Question

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

Answer 1

Perimeter=8x +34

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