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#1 2019-05-20 12:01:16

KatieWind5223
Member
Registered: 2019-03-25
Posts: 12

Reviewing area of polygons

2. If a heptagon has an area of 130 in2, what is the measure of one side?

For this one, I started by dividing the area, 130, by the amount of triangles I split the heptagon into, being 7. From that, I got 18.5 which is the area of each of the individual triangles. I am having trouble finding the sides and the height though. Please help.

3. An octagon’s radius (measure from center to vertex) measures 6 cm, what is the octagon’s area?

I got an area of 80in^2. Is this correct?

4. A regular hexagon rests on one of the flat sides and has a total height of 14 ft. What is the measure of one of the hexagon’s sides?

One of the sides is 4.6 feet long? Please check and help.

5. Problem solver (worth 6 points):  Find the surface area and volume of the pool shown below when the sides, the twelve "bumpers" making up the perimeter of the pool, are 5 ft each and the depth of the pool is 6 ft.

I haven't started this yet and I would rather go one by one, please.

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#2 2019-05-20 13:58:47

ganesh
Administrator
Registered: 2005-06-28
Posts: 28,171

Re: Reviewing area of polygons

Hi,

Area of a Regular Heptagon = The area (A) of a regular heptagon of side length a is given by:

Given, the Area is 130 square inches, the side length can be found.

Similarly, see the links:

Polygon

Octogon

Hexagon

Pentagon.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3 2019-05-20 18:45:02

bob bundy
Administrator
Registered: 2010-06-20
Posts: 8,523

Re: Reviewing area of polygons

Q5 has recently and many times earlier been answered in other posts.  Use the search to find these.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob Bundy smile

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