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WITCHER [35]
3 years ago
15

A rectangle is drawn so that the width is 4 feet shorter than the length. The area of the rectangle is 45 square feet. Find the

length of the rectangle.
Mathematics
1 answer:
svetlana [45]3 years ago
8 0

The length of the rectangle is 9 feet

Step-by-step explanation:

A rectangle is drawn so that:

  • The width is 4 feet shorter than the length
  • The area of the rectangle is 45 square feet

Assume that the length of the rectangle is x feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle is 4 feet shorter than the length

∴ The width of the rectangle = (x - 4) feet

∵ The area of the rectangle = length × width

∴ The area of the rectangle = x(x - 4)

- Simplify it

∴ The area of the rectangle = x² - 4x

∵ The area of the square = 45 feet²

- Equate the two expressions of the area

∴ x² - 4x = 45

- Subtract 45 from both sides

∴ x² - 4x - 45 = 0

Use your calculator to find the value of x

∴ x = 9 and x = -5

- We will reject the value of x = -5 because there is no negative

  dimensions

∴ x = 9

∵ The length of the rectangle = x

∴ The length of the rectangle = 9 feet

The length of the rectangle is 9 feet

Learn more:

You can learn more about area of figures in brainly.com/question/4713715

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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3 0
3 years ago
A girl has 18 eggs she uses half them uses one third of what’s left .afther what’s left she makes an omlet for some cookies.then
gizmo_the_mogwai [7]
Answer: 3

Explanation:
She has 18 and uses half, 18/2=9
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8 0
3 years ago
Ben and Josh went to the roof of their 40-foot tall high school to throw their math books off the edge.
krok68 [10]

Answer:

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  • Ben's lands about 0.648 seconds later

Step-by-step explanation:

Using the given equation for v=60 and s=40, the height of Ben's book is ...

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We want to find t when h(t) = 0, so we're looking for the solution to ....

  0 = -16t² +60t +40

Using the quadratic formula, we find the positive value of t to be ...

  t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277

__

Similarly, the height of Josh's book is ...

  0 = -16t² +48t +40

  t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794

__

The time before Josh's book lands is shorter by ...

  4.3277 -3.6794 ≈ 0.6482 . . . . . seconds

Josh's book reaches the ground first, by about 0.648 seconds.

3 0
3 years ago
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K

i

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y

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3 years ago
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kolbaska11 [484]
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