For this case, we must find the lateral area of the pentagonal prism shown in the figure.
By definition:

Where:
: Is the lateral area
: It is the perimeter of the base
h: It's the height
Substituting the values we have:

Answer:

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Step-by-step explanation:
the circle ends(??) touches the square, so:
16 cm= diameter of the circle
area formula: (pi)r²
pi used= 22/7
16/2= 8 (radius)
22/7 x 8²
=201.143 cm2
Let S be the area of Seth's bedroom and let M be the area of his mom's living room.
Let's first set-up the e
From the question, <em>"The area of Seth's bedroom is 1/2 of the area of his mom's living room</em>" can be written mathematically as;
S = 1/2 M ---------------------------------------------(1)
Also, "<em>the total area Seth has at his disposal is 132 square feet</em>" implies;
S + 12 = 132 -----------------------------------------------------(2)
Ok, this is kinda crazy, but I THINK I got it. If the circle is tangent to the point (1,0), that means that if the radius is a length of 5, from the y coordinate of 0, you are going up 5 units to meet the center of the circle. That puts the vertex at that x coordinate which is 1, and the y coordinate which is 5. So using that info, the equation for the circle is (x-1)^2 + (y-5)^2 = 25. Now to find the y intercepts, we set x equal to 0: (0-1)^2 + (y-5)^2 = 25. -1 squared is 1. Subtract that from both sides to get (y-5)^2 = 24. Now, undo that square by taking the square root of both sides (using your calculator) to get
y-5= +/-4.89898. Now add 5 to both sides to get y values of 9.89898 and .10102