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Zepler [3.9K]
3 years ago
7

Find the length and width of a rectangle whose perimeter is 20 feet and whose area is 21 square feet

Mathematics
1 answer:
ipn [44]3 years ago
6 0

Answer:

Length = 3

Width = 7

Step-by-step explanation:

The perimeter is 20 feet

The area is 21 feet

Let x represent the length

Let y represent the width

20 = 2(x+y)

x+y= 20/2

x+y = 10.........equation 1

x × y= 21......equation 2

From equation 1

x= 10-y

Substitute 10-y for x in equation 2

(10-y)y= 21

10y - y^2 = 21

y^2 -10y + 21= 0

After factorization the result will be

(x-3)(y-7)

x-3= 0

x= 0+3

x= 3

y-7= 0

y= 0+7

y= 7

Hence the length is 3 and the width is 7

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maksim [4K]
+ = positive
Positive and positive makes a positive

Negative and negative makes a positive

- = negative
Negative and positive makes a negative

Positive and negative makes a negative

Your answer: +5 - (-1) = 6
+6 - (-3) = +9
Your answer that youre looking for is: 9


4 0
3 years ago
Charlie is trying to cover the shape shown with paper. He will NOT be covering the top and the bottom. How much paper will he ne
DENIUS [597]

You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:

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The given cylinder has a height of h=15m and a diameter of d=6m

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Now you can calculate the lateral area as follows:

\begin{gathered} A=2\pi rh \\ A=2\cdot3.14\cdot3\cdot15 \\ A=282.6m^2 \end{gathered}

Charlie will need 282.6 m² to cover the lateral side of the cylinder.

6 0
1 year ago
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Answer:

1,100

Step-by-step explanation:

6 0
3 years ago
How do combine like terms 3x plus 3y minus 5x minus y?
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