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sveticcg [70]
3 years ago
15

The perimeter of the rectangle below is 74 units. Find the length of side RS

Mathematics
2 answers:
Goryan [66]3 years ago
6 0
The answer is 28 if you use the method I used

Alika [10]3 years ago
4 0

Answer:

20 units

Step-by-step explanation:

The perimeter of a rectangle is

P = 2(l+w)

P = 2( 3x+2 + 4x)

Adding like terms

P = 2( 7x+2)

We know the perimeter is 74 units

74 = 2 ( 7x+2)

Divide by 2

74/2 = 2/2 (7x+2)

37 = 7x+2

Subtract 2 from each side

37-2 = 7x+2-2

35 = 7x

Divide by 7

35/7 = 7x/7

5 =x

We want to find the length RS = PQ = 4x

RS = 4x = 4*5 = 20

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it hasn't been specified which ticket the question's is asking but I'm guessing the price of the adult ones so $30.00

altogether that's two adults and 3 children who all paid a total of $105.00

let's simplify that to algebra

children tickets = c adults tickets = a

3c + 2a = $105.00

we know that 1c is 0.5a because each child ticket is half of an adults one <em>as stated in the question</em>

so in terms of (adults) a: half of 3 meaning 3×0.5= $1.5 meaning 1.5a

so now <em>3c = 1.5a</em>

so we can substitute and have like terms

meaning 1.5a + 2a= $105

3.5a =$105.00

divide by 3.5 on both sides to get a by itself thus the value of a:

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3 years ago
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3 years ago
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alisha [4.7K]

Answer:

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Step-by-step explanation:

Pythagorean theorem

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ZanzabumX [31]

Answer:

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Step-by-step explanation:

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Alborosie

Answer:

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