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Divide the polygon into triangles. Calculate the areas of the triangles and then sum these.

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Q: How can you find the area of a polygon that is not one for which you know an area formula?
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What is the first thing you need to know about the polygon to find its area?

Whether or not it is regular. If it is regular then there is a single formula that can be used. If not, the polygon needs to be split up into triangles or quadrilaterals whose areas will need to be computed individually and then added together.


What is the formula to find the height when you know the area and base?

For a rectangle, the formula is: area = base x height Fill in the items you know, and solve for the remaining item.


What is the formula for a polygon if you are looking for the area?

The answer depends on the information that is available to you and whether or not the polygon is regular or irregular. If it is irregular, then you will need to divide it up into triangles, find the area of each triangle and sum the results. This will require knowledge of all sides and angles (except one).If it is regular than the answer depends on whether you know the side length, the apothem (radius of incentre) or the radius of the circumcentre.


How do you figure out the area of a side of a cube if you know the volume?

The formula for volume is side cubed, and the formula for a square's area is side squared, so you find the cube root of the volume and square your answer to find area.


Which formula should you use to find the area of a parallelogram?

There is no exact formula to find the area of a parallelogram * * * * * It all depends on what information you do have. If you know the base length, B, and the vertical height, H, then the area is B*H square units. If you don't know H but know an angle then some trigonometry will enable you to find H.

Related questions

What is the first thing you need to know about the polygon to find its area?

Whether or not it is regular. If it is regular then there is a single formula that can be used. If not, the polygon needs to be split up into triangles or quadrilaterals whose areas will need to be computed individually and then added together.


How do you calculate the area of the polygon?

If it is a regular polygon--meaning that all the sides are congruent and all the angles are congruent, then the formula for area of the polygon is A=1/2 ap Here a represents the apothem, which is the distance from the center of the polygon to the midpoint of one side. p represents the perimeter of the polygon found by multiplying one side length by the number of sides. If you only know one variable such as side length, you can find the perimeter and you can find the apothem using trigonomety.


How do you know that area is this and perimeter is that?

You know because the area is the distance inside a polygon and a perimeter is the distance outside a polygon.


What is the formula to find the height when you know the area and base?

For a rectangle, the formula is: area = base x height Fill in the items you know, and solve for the remaining item.


What is the formula for a polygon if you are looking for the area?

The answer depends on the information that is available to you and whether or not the polygon is regular or irregular. If it is irregular, then you will need to divide it up into triangles, find the area of each triangle and sum the results. This will require knowledge of all sides and angles (except one).If it is regular than the answer depends on whether you know the side length, the apothem (radius of incentre) or the radius of the circumcentre.


What do I know about area?

area is the outside of a polygon or some kind of shape.


How do you figure out the area of a side of a cube if you know the volume?

The formula for volume is side cubed, and the formula for a square's area is side squared, so you find the cube root of the volume and square your answer to find area.


Which formula should you use to find the area of a parallelogram?

There is no exact formula to find the area of a parallelogram * * * * * It all depends on what information you do have. If you know the base length, B, and the vertical height, H, then the area is B*H square units. If you don't know H but know an angle then some trigonometry will enable you to find H.


What is a formula to find the perimeter of a regular polygon?

The answer depends on what information you have about the regular polygon. You need to know, or be able to derive, the number of sides (n) and the length of each side (L). Then the perimeter is n*L units of length.


How can coordinates help you to find the area of figures on the coordinate plane?

Once you know the coordinates, you can use the distance formula to find the lengths of the sides, then using that, you can find the area.


How do you find the exterior angle of a polygon?

360/number of sides 180 times the number of sides the polygon has then minus 360. This gives the total sum of the exterior angles. Then to get the angle of one exterior angle divide it by the number of sides the polygon has.Very easy when you know the formula!


What is the number of sides of a regular polygon if one angle measures 171 degrees?

The formula to find the sum of the angles of a polygon is: 180(n - 2) Since we know that one angle of this regular polygon is 171 degrees, we can find what kind of polygon it will be, using the formula: 180(n - 2) = 171n 180n - 360 = 171n 180n - 171n = 360 9n = 360 n = 360/9 n = 40 Thus the polygon is a 40-sided polygon. Check: 180(40 - 2) = 180(38) = 6840, which is the sum of the angles of the polygon. 6840/40 = 171 degrees, which is the measure of one of the angles of that polygon .