Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-6, -4),A(−6,−4),A, left parenthesis, minus, 6, comma, minus, 4, right parenthesis, comma B(-4,-4)B(−4,−4)B, left parenthesis, minus, 4, comma, minus, 4, right parenthesis, C(-4, -2)C(−4,−2)C, left parenthesis, minus, 4, comma, minus, 2, right parenthesis, and D(-6, -2)D(−6,−2)D, left parenthesis, minus, 6, comma, minus, 2, right parenthesis.
What is the perimeter of rectangle ABCDABCDA, B, C, D?
units
Answers
The perimeter of the rectangle is 8 units
The coordinates of the rectangle is given as:
[tex]A = (-6,-4)[/tex]
[tex]B = (-4,-4)[/tex]
[tex]C = (-4,-2)[/tex]
[tex]D = (-6,-2)[/tex]
Start by calculating the distance between the vertices using the following distance formula
[tex]d=\sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]AB=\sqrt{(-6 --4)^2 + (-4 --4)^2}[/tex]
[tex]AB=\sqrt{4}[/tex]
[tex]AB=2[/tex]
[tex]BC=\sqrt{(-4 --4)^2 + (-4 --2)^2}[/tex]
[tex]BC=\sqrt{4}[/tex]
[tex]BC=2[/tex]
[tex]CD=\sqrt{(-4 --6)^2 + (-2 --2)^2}[/tex]
[tex]CD=\sqrt{4}[/tex]
[tex]CD=2[/tex]
[tex]DA=\sqrt{(-6 --6)^2 + (-2 --4)^2}[/tex]
[tex]DA=\sqrt{4}[/tex]
[tex]DA = 2[/tex]
So, the perimeter of the rectangle is:
[tex]P =AB + BC + CD + DA[/tex]
This gives
[tex]P= 2 + 2+2+2[/tex]
[tex]P= 8[/tex]
Hence, the perimeter of the rectangle is 8 units
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Related Questions
The perimeter of a rectangular area is 16ft.
Write an expression for the sum of the length and width.
Answers
Answer:
Length + Width = 8 ft
Step-by-step explanation:
"The perimeter of a rectangle is 16 ft."
A perimeter is the sum of four sides of a rectangle.
OR...
Perimeter = Side 1 + Side 2 + Side 3 + Side 4
A rectangle has "matching sides", so...
Length: Side 1 = Side 3
Width: Side 2 = Side 4
Therefore we can just say that:
Perimeter = (Length * 2) + (Width * 2)
We can pull the 2 out:
Perimeter = 2 * (Length + Width)
Since Perimeter = 18
16 = 2 * (Length + Width)
Divide both sides by 2
8 = Length + Width
Length + Width = 8 ft
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How much did she spend if she bought 9 books?
Answers
Answer:
$34.20
Step-by-step explanation:
total spent =3.80*9=$34.20
2(4x-1)+3=7
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Answers
Answer:
x = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x
Now, you have 8x - 1 + 3 = 7
Seperate the 8x from the other numbers
8x = 1 - 3 + 7 ---> 6
8x = 6
Now simplify
x = [tex]\frac{6}{8}[/tex] <----- to reduce, divide the numerator and denominator by 2
Hence,
x = [tex]\frac{3}{4}[/tex]
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Answers
Answer:
Step-by-step explanation: B
The tables of ordered pairs representing relations that are functions are: A and C.
What is a Function?If a table of ordered pairs of a relation has each x-value relating to exactly one y-value, then the relation is a function.
Table B and D do not apply to this rule. Table A and C have each of its x-values paired with exactly one y-value.
Therefore, table A and C represent functions.
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a).cruz is right.
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1.Cruz is right
2. If the nth root of the negative number is a odd number, the answer is negative this of the FOLLOWING is the example not the answer
[tex] \sqrt[5]{ - 243} = [/tex]
[tex]( - 3 \times - 3) = 9[/tex]
[tex]9 \times ( - 3) = - 27[/tex]
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[tex]16 \times - 4 = 64[/tex]
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Answer:
875 ft^3
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Step-by-step explanation:
Answer:
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Answers
Given: SR=12cm, QM=7.6cm, PS=8cm.
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Answers
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Answers
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