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EleoNora [17]
3 years ago
9

a rectangle with a perimeter of 32 inches has whole-number side lengths. what is the difference between the greatest and the lea

st areas of the rectangle?
Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

Answer:

49

Step-by-step explanation:

Let x represent the length and y represent the width of the given rectangle. The perimeter of the rectangle will be:

Perimeter = 2(x + y)

32 = 2(x + y)

16= x + y

This means, the sum of length and width of the rectangle can be 16. Since only whole number side lengths are allowed, following are the possibilities:

  • Side Lengths: 15, 1            Area = 15
  • Side Lengths: 14, 2           Area = 28
  • Side Lengths: 13, 3           Area = 39
  • Side Lengths: 12, 4           Area = 48
  • Side Lengths: 11, 5            Area = 55
  • Side Lengths: 10, 6           Area = 60
  • Side Lengths: 9, 7            Area = 63
  • Side Lengths: 8, 8            Area = 64

Hence the largest possible value of Area is 64 and the least possible value is 15. The difference is 64 - 15 = 49

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2 years ago
8/9 divided by -1 4/15
Marina86 [1]

You can use the keep it, change it, and flip it method. Keep the 8/9. Change the division to multiplication. Flip -14/15 (it becomes -15/14). So, your answer would become 20/21.

3 0
3 years ago
Marcus is picking songs to play during a slideshow. The songs are each 3\dfrac123
Lerok [7]

Answer:

9 songs

Explanation:

Given:

The slideshow is 31 whole number 1/2 minutes long

convert to an improper fraction

31×2+1/2 = 63/2

The songs are each 3 whole number 1/2 minutes long

convert to an improper fraction

3×2+1/2 = 7/2

To find the number of songs that Marcus is picking to play during a slideshow, divide the slideshow by the long of one song

(63/2) / (7/2)

= 9 songs.

6 0
2 years ago
ASAP
artcher [175]

Answer:

9

Step-by-step explanation:

  • The vertical distance means you are moving directly up or directly down
  • So which axis is vertical? The y axis right?
  • So what is difference between each y coordinate?
  • distance=|y_2-y_1|=|3-(-6)|=|9|=9
  • The upstanding braces you see mean magnitude or absolute value
  • It prevent the answer from being negative in short. because distance can't be negative
7 0
2 years ago
What steps would i use to find the distance between the points (20, -4) and (-4, 3)
choli [55]
Distance formula = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
(20,-4)...x1 = 20 and y1 = -4
(-4,3)...x2 = -4 and y2 = 3
now we sub
d = sqrt ((-4 - 20)^2 + (3 - (-4)^2)
d = sqrt ((-24^2) + (7^2))
d = sqrt (576 + 49)
d = sqrt 625
d = 25 <==
8 0
3 years ago
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