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Nitella [24]
2 years ago
6

A vegetable garden is in the shape of a parallelogram with the dimensions shown.Parallelogram A B C D is shown. The length of A

B is (4 r minus 2) feet, the length of B C is (2 r + 12) feet, and the length of A D is (3 r + 8) feet.
How many feet of fencing are needed to enclose the garden?

54 feet
68 feet
108 feet
140 feet
Mathematics
2 answers:
Aleks [24]2 years ago
8 0

Answer:

its B

Step-by-step explanation:

olga55 [171]2 years ago
7 0

Answer:

t needs 68 feet to enclose the garden.

Step-by-step explanation:

In this problem, we are to solve the sides of a parallelogram ABCD to know the measurement to enclose a garden.

Take note that a parallelogram has two equal lengths and two equal widths. Let us assume that the parallelogram AB = CD is the length and AD = BC is the width.

Solving the problem

First, let us solve for r using the condition AD = BC

AD = BC

3r + 8 = 2r + 12

Simplify the equation

3r - 2r = 12 - 8

r = 4

Next, let us substitute the value of r to AB, BC, CD, and AD.

For AB:

AB = 4r - 2

AB = 4(4) - 2

AB = 16 - 2 = 14

For BC:

BC = 2r + 12

BC = 2(4) + 12

BC = 8 + 12 = 20

For AD:

AD = 3r + 8

AD = 3(4) + 8

AD = 12 + 8 = 20

For CD:

But AB = CD Therefore, CD = 14

Finally, let us solve the perimeter of the parallelogram

Perimeter = AB + BC + CD + AD

Perimeter = 14 + 20 + 20 + 14

Perimeter = 68 feet

Therefore, the fencing needed to enclose the garden is 68 feet.

To learn more, just click the following links:

Step-by-step explanation:

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3 years ago
Answer me if you need a friend<br><br> Also 5x+25=35<br><br> x=
STALIN [3.7K]

Answer:

x = 2

Step-by-step explanation:

You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

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Division

Addition

Subtraction.

First, subtract 25 from both sides of the equation:

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5x = 10

Isolate the variable, x. Divide 5 from both sides:

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x = 2 is your answer.

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5 0
3 years ago
Which equation represents the line that passes through (-3,5) and is parallel to the graph of y= -2/3x+5
Nostrana [21]
Parallel to the graph of y = -2/3x + 5
means that it has the same slope

Rewrite
y = -2/3x + b
plug in the given coordinates to solve for b
5 = -2/3(-3) + b
5 = 2 + b
subtract 2 from both sides
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plug that back into the equation
y = -2/3x + b
y = -2/3x + 3

The answer is <span>B. y= -2/3x+3</span>

This line is parallel to y = -2/3x + 5 and it passes the point (3, 5).

Hope this helps :)
4 0
3 years ago
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