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Nutka1998 [239]
3 years ago
5

a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l

ength of the rectangle
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

The length of the rectangle is 9 cm

Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = \frac{1}{2} x cm a

Also, perimeter of rectangle is 24 cm.

Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

P=2(l+w)

Substituting the value of P = 24 cm , l = (x+3) cm and w =\frac{1}{2} x

then,  

24 = 2 (x+3+\frac{1}{2} x)

Divide by 2 both sides of an equation;

12 = x+3+\frac{1}{2}x

Combine like terms;

12 =\frac{3x}{2} +3

Subtract 3 from both the sides we get;

12-3 = \frac{3x}{2} +3-3

Simplify:

9 =\frac{3x}{2}

Multiply both sides by \frac{2}{3} we get

x = 9 \times \frac{2}{3} = 3 \times 2 = 6

Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm

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Should the story be, how much money must they raise to have a profit of 5.5 on each magazine and still have enough for the field trip, then you have a different equation which varies only in adding the cost of each magazine, either case, M should be defined not as money they need to raise (cause here they will be short on their goal) but Money they must earn. And again, you should rewrite your equation to be: 

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And rewriting the previous they should make: 

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You didn’t give the rest of the answer hun
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A. g(x) = 8(2ˣ)
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B. g(x) = 4096(16ˣ⁻³)
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D. g(x) = 0.0625(16ˣ⁺¹)
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