All categories

3 years ago

How do you find the area of a polygon in a coordinate plane

Mathematics

1 answer:

inna [77]3 years ago

6 0

Step-by-step explanation:

The way that I would do it, would be to use the point distance formula to find the length of each side.

Distance formula: $\sqrt{(x2-x1)^{2} (y2-y1) ^{2} }$

After you use this formula to find the length of all sides of the polygon, you would need to use the appropriate area formula to find the area of the polygon.

Area of Triangle: A= 1/2 base times height

Area of Rectangle: A= length times width

Area of Square: A= s^2 where s is the length of the side

Area of Parallelogram: A= base times height

Area of Trapezoid: A= 1/2 times height (base 1 + base 2) where base 1 and base 2 are the parallel sides

Area of Kite or Rhombus: A= 1/2 (diagonal 1 times diagonal 2)

Area of Regular Polygons: A= 1/2 (apothem times perimeter)

You might be interested in

Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that

m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

$y=a(x-c_1)(x-c_2)...(x-c_n)$

Where, a is a constant and $c_1,c_2,...,c_n$ are the roots of the polynomial.

Polynomial roots are 1 and 2. So, $(x-1)$ and $(x-2)$ are the factors of the polynomial.

Let the third root of the polynomial by c, then $(x-c)$ is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

$y=8(x-1)(x-2)(x-c)$

The graph passes through the point (4,5). Putting $x=4,y=5$ , we get

$5=8(4-1)(4-2)(4-c)$

$5=8(3)(2)(4-c)$

$5=48(4-c)$

Divide both sides by 48.

$\dfrac{5}{48}=4-c$

$c=4-\dfrac{5}{48}$

$c=\dfrac{192-5}{48}$

$c=\dfrac{187}{48}$

Therefore, the 3rd root on the polynomial is $\dfrac{187}{48}$ .

8 0

3 years ago

If y=3 when x=9 find x when y=1<br> & if y=2 when x=0.5 find y when x=3

hram777 [196]

I got -19/655 and i know for sure this isnt the correct answer.

4 0

4 years ago

Mark all of the statements that are true.

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

6 0

3 years ago

NEED HELP FAST!

Lyrx [107]

Both lines intersect at (3,4)
so answer

<span>
(3, 4) is the solution to both lines A and B</span>

3 0

3 years ago

Can someone please help me with these last 3 questions? <br> Offering 30 points (10 per question)

suter [353]

10. 4:5....added = 9
4/9 (1800) = 7200/9 = 800 (red)
5/9 (1800) = 9000/9 = 1000 (green)
there were (1000 - 800) = 200 less red ones then green ones.

11. 7/4 = 21/r
cross multiply
(7)(r) = (4)(21)
7r = 84
r = 84/7
r = 12....Rod has 12 stickers

12. 14/4 = 3.5 eggs per cup
for 16 cups...16 * 3.5 = 56 eggs

3 0

3 years ago