cilaj22430 cilaj22430
  • 23-07-2020
  • Mathematics
contestada

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

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

Respuesta :

martin58853 martin58853
  • 29-07-2020

Answer:

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

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