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Julli [10]
3 years ago
10

The width of a rectangle is 3 units less than the length. The area of the rectangle is 54 units. What is the length,in units of

the rectangle?
Mathematics
2 answers:
My name is Ann [436]3 years ago
5 0

Answer:

The length is 9 units

Step-by-step explanation:

Let x = length

width  = x-3

Area = 54 = l*w

54 = x * (x-3)

Distribute

54 = x^2 -3x

Subtract 54 from each side

54-54 = x^2 -3x-54

0 =  x^2 -3x-54

Factor

What 2 number multiply to -54 and add to -3

-9 * 6 =54

-9+6 =-3

(x-9) (x+6) =0

Using the zero product property

x=9   x=-6

Since we cannot have negative length

x=9 units

The length is 9 units

max2010maxim [7]3 years ago
5 0

Answer:

9 units

Step-by-step explanation:

length: L

Width: L - 3

Area = length × width

(L - 3) × L = 54

L² - 3L - 54 = 0

L² - 9L + 6L - 54 = 0

L(L - 9) + 6(L - 9) = 0

(L - 9)(L + 6) = 0

L = 9, -6

L = 9

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Tresset [83]

Answer:

$6.16

Step-by-step explanation:

Total amount paid = $107.78

Total time worked = 3 and half hours for 5 days

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Amount earned per hour

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Cheryl and rodney are mixing yellow and blue paint to make green paint. The table shows how much of each color they use. Whose g
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The amount of blue color in the green paint is an illustration of ratios and proportions.

Cheryl's green paint has more blue color

The proportion of blue color is calculated as:

\mathbf{Proportion = \frac{Blue}{Blue+ Yellow}}

So, we have:

\mathbf{Cheryl= \frac{16}{16+ 24}}

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\mathbf{Cheryl= 0.40}

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\mathbf{Cheryl= 40\%}

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Read more about proportions at:

brainly.com/question/21126582

4 0
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USPshnik [31]

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Step-by-step explanation:

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