Answer:
C. 52
Step-by-step explanation:
First, find the base of the triangle. You can do this by looking at the top of the figure. 14 inches is the width of the rectangle, and 20 inches is the width of the rectangle and the base of the triangle. You can find the base of the triangle by subtracting.
[tex]20-14=6[/tex]
The base of the triangle is 6. The height of the triangle is equal to the height of the rectangle, 8. Now you need to find the hypotenuse of the triangle using the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
c is the hypotenuse. Find c:
[tex]6^2+8^2=c^2\\36+64=100\\\\\sqrt{c^2}= \sqrt{100}\\c=10[/tex]
The hypotenuse of the triangle is 10. Now that you know the hypotenuse, you can find the perimeter. Add all the sides:
[tex]10+20+8+14\\30+8+14\\38+14\\52[/tex]
The perimeter is 52 inches.
