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alexdok [17]
3 years ago
5

The length of a rectangle is 4 cm less than it’s width. If the area of the rectangle is 165 cm^2. What are the dimensions of the

rectangle?
Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

The dimensions are 11 cm by 15 cm

Step-by-step explanation:

Area of a rectangle = (length)(width).

Let L represent the length and W the width.

Since L = W - 4, we have

Area of rectangle = (W - 4)W = 165 cm^2.

Thus, w^2 - 4W - 165 = 0.  We can solve for W using the quadratic formula:

a = 1, b = -4 and c = -165.  Thus,

        -(-4) ± √ [ (-4)² - 4(1)(-165) ]

W = ---------------------------------------

                        2

         4 ± √ [16 + 660 ]

W = ------------------------------

                       2

         4 ± √ [ 676 ]                    4 ± 26

W = -----------------------  =   W = -------------  =  W  = 2 ± 13

                  2                                  2

Thus, W is 2 + 13 = 15.  It cannot be negative, so we discard 2 - 13 = -11.

If the width, W, is 15, then the length is 4 less, or L = 11.

The dimensions are 11 cm by 15 cm

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7nadin3 [17]

Answer:

1.5 because it is the average of the two middle numbers in this scenario.

7 0
3 years ago
I'll mark the CORRECT answer the BRAINLIEST
iren2701 [21]

Answer:

180 in²

Step-by-step explanation:

the area of a rectangle = length × width

here length = 15 in and width = 12 in, hence

area = 15 × 12 = 180 in²


3 0
3 years ago
Order the numbers from least to greatest: -5, 6, and 9.
julsineya [31]

Answer: -5, 6, and 9

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help with this question. I need an answer ASAP!! I need help! I don't understand this!
Romashka-Z-Leto [24]

Answer: 42°

<u>Step-by-step explanation:</u>

HJ is an angle bisector of ∠IHK so

∠IHJ ≅ ∠KHJ ⇒ m∠IHJ = m∠KHJ

                           3a + 6 = 5a - 18

                                   6  = 2a - 18

                                  24 = 2a

                                   12 = a

∠IHJ = 3a + 6

        = 3(12) + 6

        = 36 + 6

         = 42

8 0
3 years ago
a veterinarian purchases some medication for $19.50 and wants to make a $2 profit. what is the percent markup on this medication
uysha [10]
So he has to sell it at 19.5+2=21.5 dollars

so assume19.5=100%
the markup is 2 dollars
2=x%
find x if 19.5=100%

so since they are proportionite
19.5:100 and 2:x
if we make them fractions and flip one of them then multiply we will get 1 since
2/4=1/2
2/4 times 2/1=4/4=1 so

19.5/100 times x/2=19.5x/200=1
19.5x/200=1
multiply both sides by 200
19.5x=200
divide both sdies by 19.5
x=10.256 aprox
x=10.3% markup
6 0
3 years ago
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