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sveticcg [70]
3 years ago
11

Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

a) The perimeter of the rectangle =

= 22 units

b) The area of the rectangle

= 30 square units

Step-by-step explanation:

We solve the above question using the formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

= 5 units

Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

= √0² + -6²

= √36

= 6 units

Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

=√ 5² + 0²

= √25

= 5 units

Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

= √0 + -6²

= √0 + 36

= √36

= 6 units

From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

= Length × Width

= 5 units × 6 units

= 30 square units

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<h2>SO THE ANS IS 9 .</h2>

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Find g. (-9)<br> g(+)= r^2 + 3r
oee [108]

Answer:

  • g(-9) = 64

Step-by-step explanation:

<u>Given function:</u>

  • g(r) = r² + 3r

<u>Find g(-9):</u>

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7 0
2 years ago
How many solutins<br> 6x + 35 +9x =15x(x+4) -25
Sveta_85 [38]
Hi again............. I am glad to help you again.

6x + 35 + 9x = 15x(x+4) -25
6x + 35 + 9x = 15x² + 60x - 25
15x + 35 = 15x² + 60x - 25
Now, we gonna put all the common terms together
15x - 60x + 35 + 25 - 15x² =
-45x + 60 - 15x² = 0
Now, we need to factorize
-15(x-1)(x+4)=0
Set factors equal to 0
x -1 = 0 or x + 4 = 0
x = 1 or x = 4


I hope that's help ! 

5 0
3 years ago
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