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ra1l [238]
3 years ago
9

A certain field is a rectangle with a perimeter of 818 feet. The length is 175 feet more than the width. Find the width and leng

th of the rectangular field.
Mathematics
1 answer:
irakobra [83]3 years ago
6 0

9514 1404 393

Answer:

  • width 117 feet
  • length 292 feet

Step-by-step explanation:

Let w represent the width of the field. Then w+175 is its length. The perimeter is ...

  P = 2(L+W)

  818 = 2((w+175) +w) . . . . . fill in given values

  818 = 4w +350 . . . . . . . . . simplify

  468 = 4w . . . . . . . . . subtract 350

  117 = w . . . . . . . . divide by 4

  w+175 = 292 . . . . find the corresponding length

The width of the field is 117 feet; the length is 292 feet.

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6 0
3 years ago
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Five years ago, Tom was one third as old as his father was then.In 5 years, Tom will be half as old as his father will be then.
sleet_krkn [62]

Answer:

The father is 35years old and the son Tom is 15years old

Step-by-step explanation:

Let the father's be y

Let Tom's age be T

5 years ago:

The father's age is: y — 5

Tom's age:

T— 5.

But Tom's age was one third the father's age. This is written as:

T — 5 = 1/3(y — 5)

3(T — 5) = y — 5

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3T — y = — 5 + 15

3T — y = 10 (1)

In 5years time:

The father's age is:

y + 5

Tom's age:

T + 5

But in 5years time, Tom will be half as old as his father. This is written as:

T + 5 = 1/2(y + 5)

2(T + 5) = y + 5

2T + 10 = y + 5

2T — y = 5 — 10

2T — y = — 5 (2)

Therefore, the equations are

3T — y = 10 (1)

2T — y = — 5. (2)

Solving by elimination method:

Subtract equation (2) from (1)

3T — y = 10

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T = 15

Substituting the value of T into equation (1)

3T — y = 10

3(15) — y = 10

45 — y = 10

45 — 10 = y

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Therefore,

The father is 35years old and the son Tom is 15years old

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Data set: 47, 45, 44, 41, 48
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2

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