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Marina86 [1]
4 years ago
14

a 50-meter path surrounds a rectangular garden. The width of the garden is five meters less than its length. Find the length and

width.
Mathematics
1 answer:
rewona [7]4 years ago
4 0
Suppose length is X -----> [1]
so the width is X - 5 -----> [2]

perimeter of rectangle = 2 ( length + width )
50 = 2 ( X + X - 5 )
50 = 2 ( 2X - 5 )
50 = 4X - 10
50 + 10 = 4X
60 = 4X
60/4 = X
15 = X

subsitute in [1] and [2]
length = 15 meters
width = 15 - 5 = 10 meters
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Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 c
LuckyWell [14K]

When the pentagon is drawn to scale then its value of x will be x=3.3 cm

<h3>What is the pentagon?</h3>

The pentagon is defined as the shape having five sides connected together.

Now it is given in the question that

For small pentagone

Bottom =x

left =7 cm

For larger pentagone

Bottom=7cm

left=15cm

Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.

For smaller pentagon

\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}

For bigger pentagon

\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}

Since both, the ratio is the same

\dfrac{x}{7} =\dfrac{7}{15}

x=\dfrac{49}{15} =3.3\ cm

Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm

To know more about Pentagone follow

brainly.com/question/4804571

4 0
2 years ago
Length of a rectangle is 4 inches less than twice it’s width of the perimeter is 70 inches what’s the dimensions?
Vedmedyk [2.9K]
W= width
L= length= 2W-4
Perimeter= 70

FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W

FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22

CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70

ANSWER:
length= 22 inches
width= 13 inches

Hope this helps! :)
3 0
3 years ago
F(x) = 3x + 1<br> f(2)=?
ANEK [815]

Answer: 7

Step-by-step explanation:

f(x) 3x+1

f(2) = 3(2) +1

f(2) = 6+1

     = 7

7 0
3 years ago
Secants BE and CF intersect at point D inside A. What is the measure of CDE?
Aleks04 [339]
MCE = 360 - (150 + 70 + 50)
mCE = 360 - 270
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<CDE = 1/2(mBE + mCE)
<CDE = 1/2(150 + 90)
<CDE = 1/2(240)
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answer
<CDE = 120°
6 0
3 years ago
After John worked at a job for 10 years, his salary doubled. If he started at $x, hls salary after 10 years is​
Sholpan [36]

Answer:

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I hope this helps!

4 0
3 years ago
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