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3 years ago

How would I go about finding the area of this polygon? Thanks in advance.

Mathematics

2 answers:

Annette [7]3 years ago

5 0

Notice the picture below

all you really have is a rectangle and a triangle
so...notice the dimensions for the rectangle
and keep in mind that area of a triangle is 1/2 bh

thus, get their areas, and sum them up, that's the area of the polygon

fomenos3 years ago

4 0

The easiest way to find the area of that polygon would be to imagine the evident rectangle and triangles in the picture. It is easier to find the area's of those shapes than that of an abstract shape.
The formula for the area of a rectangle: A= l x w
The formula for the area of a triangle: A=1/2 bh
Plug your figures into the formulas, A= 7 x 5 =35 + A= 1/2 (7x2)=7 = 42

The total area would be 42 units^2

You might be interested in

A student tried to solve the following equation but made a mistake.

Vesnalui [34]

9514 1404 393

Answer:

in Step 2, the student added 4 on the right and subtracted 4 on the left

Step-by-step explanation:

In Step 2, the student subtracted 4 on the left side of the equation, but incorrectly added 4 on the right. (The same operation needs to be performed on both sides of the equation.) The correct step 2 would be ...

-8x = -32 . . . . correct step 2

x = 4 . . . . . correct step 3

3 0

3 years ago

Oil that costs 22.50/barrel is mixed with oil that costs 35.00/barrel. How many barrels of each oil should be included in 1250 b

timama [110]

So 22.5 per barrel

so 22.5
x represents the number of 22.5 barrels

y represents the number of 35 barrels

so
x+y=1250

then find the total cost
1250 barrels
27.5 per so mutiply by 1250 and get 34375 total cost

22.5x+35y=34375

we have 2 senctances
x+y=1250
22.5x+35y=34375

elimination
mulitply first equation by -35 to clear y
-35x-35y=-43750
add to second equation
-35x-35y=-43750
<u>22.5x+35y=34375 +</u>
-12.5x+0y=-9375
-12.5x=-9375
multiply -1
12.5x=9375
divie both sides by 12.5
x=750

subsitute
x+y=1250
750+y=1250
subtract 750
y=500

750 barrells of the 22.5 oil should be included and
500 barrells of the 35 oil should be included

4 0

3 years ago

Solve the following 3 × 3 system. Enter the coordinates of the solution below.

defon

9514 1404 393

Answer:

(x, y, z) = (-1, 0, -3)

Step-by-step explanation:

We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.

Adding equations 1 and 2:

(2x -3y -2z) +(x +3y +2z) = (4) +(-7)

3x = -3

x = -1

Adding equations 2 and 3:

(x +3y +2z) +(-4x -4y -2z) = (-7) +(10)

-3x -y = 3

Substituting for x, we get ...

(-3)(-1) -y = 3

0 = y . . . . . . . . . . . add y-3 to both sides

Then z can be found from any equation. Substituting for x and y in the second equation gives ...

-1 +2z = -7

2z = -6 . . . . . add 1

z = -3 . . . . . .divide by 2

The solution is (x, y, z) = (-1, 0, -3).

3 0

3 years ago

Part 1: Identify the vertex, focus, and directrix of each. Then sketch the graph.

Lina20 [59]

Answer: $\bold{1.\quad \text{Vertex}:(4,-1)\qquad \text{Focus}:\bigg(4,-\dfrac{9}{8}\bigg)\qquad \text{Directrix}:y=-\dfrac{7}{8}}$

$\bold{2.\quad \text{Vertex}:(2,1)\qquad \text{Focus}:\bigg(\dfrac{9}{4},1\bigg)\qquad \text{Directrix}:y=\dfrac{7}{4}}$

<u>Step-by-step explanation:</u>

The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h

(h, k) is the vertex

p is the distance from the vertex to the focus

-p is the distance from the vertex to the directrix

$\bullet\quad a=\dfrac{1}{4p}$

1) y = -2(x - 4)² - 1 → a = -2 (h, k) = (4, -1)

$a=\dfrac{1}{4p}\quad \rightarrow \quad -2=\dfrac{1}{4p}\quad \rightarrow \quad p=-\dfrac{1}{8}\\\\\text{Focus = Vertex + p}\\\\.\qquad = \dfrac{-8}{8}+\dfrac{-1}{8}\\\\.\qquad =-\dfrac{9}{8}\qquad \rightarrow \qquad \text{Focus}=\bigg(4,-\dfrac{9}{8}\bigg)\\\\\\\text{Directrix: y=Vertex - p}\\\\.\qquad \qquad y=\dfrac{-8}{8}-\dfrac{-1}{8}\\\\.\qquad \qquad y=-\dfrac{7}{8}$

*******************************************************************************************

2) x = (y - 1)² + 2 → a = 1 (h, k) = (2, 1)

$a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=-\dfrac{1}{4}\\\\\text{Focus = Vertex + p}\\\\.\qquad = \dfrac{8}{4}+\dfrac{1}{4}\\\\.\qquad =\dfrac{9}{4}\qquad \rightarrow \qquad \text{Focus}=\bigg(\dfrac{9}{4},1\bigg)\\\\\\\text{Directrix: x=Vertex - p}\\\\.\qquad \qquad x=\dfrac{8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad x=\dfrac{7}{4}$

6 0

3 years ago

R subtracted from 378 is the same as 223

Feliz [49]

Wouldn't it just be 378-223? resulting with r=155?

3 0

4 years ago