Answer:
6(x^2-3)
Step-by-step explanation:
Since, the polygon is a trapezoid made up of a rectangle and a right triangle. Therefore, according to the question, the figure of the polygon is attached.
Since, perimeter is the total length of the outer boundary of the figure. Therefore,
Perimeter of the polygon is
Area of the polygon = Area of Rectangle + Area of Triangle
![=[(18) \times (15)] + [(\frac{1}{2}) \times (8) \times (15)]](https://tex.z-dn.net/?f=%3D%5B%2818%29%20%5Ctimes%20%2815%29%5D%20%2B%20%5B%28%5Cfrac%7B1%7D%7B2%7D%29%20%5Ctimes%20%288%29%20%5Ctimes%20%2815%29%5D)
![=270 + [(\frac{8}{2}) \times (15)]](https://tex.z-dn.net/?f=%3D270%20%2B%20%5B%28%5Cfrac%7B8%7D%7B2%7D%29%20%5Ctimes%20%2815%29%5D)
![=270 + [4 \times (15)]](https://tex.z-dn.net/?f=%3D270%20%2B%20%5B4%20%5Ctimes%20%2815%29%5D)
Based on the shaded region, the value of x which makes this region a gnomon is x = 1.
<h3>What is value of x?</h3>
Based on the dimensions of the side that isn't shaded, and the dimensions of the side that is shaded, the value of x can be found as:
3/ 6 = (1 + 3) / (x + 6 + x)
1/2 = 4 / (6 + 2x)
6 + 2x = 4 / (1/2)
2x = 8 - 6
x = 2/2
x = 1
Find out more on shaded regions at brainly.com/question/9767762.
#SPJ4
y = 0.012x + 0.65<span><span><span>
Number of pages </span>
<span> 50.00 </span><span> 100.00 </span><span> 150.00 </span>
<span> 200.00 </span>
</span>
<span>
<span>
Cost </span>
<span> 1.25 </span>
<span> 1.85 </span>
<span> 2.45 </span>
<span> 3.05
x = number of pages
y = cost
intervals of x = 50 pages
intervals of y = 0.60
0.60 / 50 = 0.012
y = 0.012x + 0.65
</span></span></span><span>
<span>
</span><span><span>
<span> x </span>
<span> 0.012*x </span>
<span> y </span>
</span>
<span>
0.012
<span> 50 </span>
<span> 0.60 </span>
<span> 0.65 </span>
<span> 1.25
</span></span><span>0.012
<span> 100 </span>
<span> 1.20 </span>
<span> 0.65 </span>
<span> 1.85
</span>
</span>
<span>
0.012
<span> 150 </span>
<span> 1.80 </span>
<span> 0.65 </span>
<span> 2.45
</span>
</span>
<span>
0.012
<span> 200 </span>
<span> 2.40 </span>
<span> 0.65 </span>
<span> 3.05 </span>
</span></span></span><span>
</span>
