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Free_Kalibri [48]
4 years ago
13

A rectangular garden is fenced on all sides with 262 feet of fencing. The garden is 9 feet longer than it is wide. Find the leng

th and width of the garden.
Mathematics
1 answer:
solmaris [256]4 years ago
4 0

9514 1404 393

Answer:

  • 70 ft long
  • 61 ft wide

Step-by-step explanation:

Let w represent the width of the garden. Then w+9 represents the length. The perimeter is given by the formula ...

  P = 2(L+W)

Filling in the known information, we have ...

  262 = 2((w+9) +w)

  131 = 2w +9 . . . . . . . divide by 2

  122 = 2w . . . . . . . . . subtract 9

  61 = w . . . . . . . . . . . divide by 2 (width)

  w+9 = 70 . . . . . . . . length

The length of the garden is 70 feet; the width is 61 feet.

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1x+5=10

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4 years ago
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a house increased in value by 36% since it was purchased. The current value is $306,000. What was the value when purchased?
puteri [66]

Answer:

$225,000

Step-by-step explanation:

To calculate the percentage change we will apply the formula:

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p is the increased percentage

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Substitute the values in the formula:

36 = 306,000 - O/O *100

Divide both the sides by 100

36/100 = 306,000 - O/O *100/100

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Now multiply O at both sides

36/100 * O = 306,000-O/O * O

At R.H.S O will be cancelled by O

At L.H.S 36/ 100 = 0.36

0.36 O= 306,000-O

Combine the like terms:

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Divide both the terms by 1.36

1.36 O/ 1.36 = 306,000/1.36

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Therefore  when the house was purchased its value was $225,000....

8 0
4 years ago
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How many ink cartridges can you buy with 98 dollars if one cartridge costs 14 dollars? Write and solve the equation that represe
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7

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