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devlian [24]
3 years ago
15

The length of a rectangle is 2 m longer than it’s width. If the perimeter of a the rectangle is 28 m, find it’s area.

Mathematics
1 answer:
lana66690 [7]3 years ago
5 0

Hi!

length = width + 2 m

Perimeter = 2 * length + 2 * width =

= 2 * (width + 2) + 2 * width =

=  2 * width + 4 + 2 * width =

= 4 * width + 4 = 28

4 * width = 28 - 4 = 24

width = 24/4 = 6

length = width + 2 = 6 + 2 = 8

Area = length * width = 6 * 8 = 48 squared meters

Hope this helps!

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A)

Step-by-step explanation:

|3.7| = 3.7

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3 years ago
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
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Step-by-step explanation:

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Step-by-step explanation:

6 0
3 years ago
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Please help!!<br> I need it quick!!!
sladkih [1.3K]

Answer:

-13 \frac{13}{25}

Step-by-step explanation:

To multiply fractions with both the fraction and whole number you must convert it to an improper fraction by multiplying the whole numbers by the denominators, which you would get 35 for the first fraction and -10 for the second, then you must add the numerators to that number and put the number into the numerator spot. at this point you should have \frac{39}{7} and \frac{-12}{5}.

Now, multiply the numerators by the numerators and the denominators by the denominator and keep it aligned so the products stay in fraction form. now you should have \frac{-468}{35} .

Divide the numerator by the denominator to get the whole number, in this problem that comes out to 13. The remainder of this division becomes the new numerator which in this case would also be 13 and the denominator stays the same so now you have -13\frac{13}{35} which is the answer

Hope i helped!

3 0
3 years ago
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