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siniylev [52]
3 years ago
11

The length of a rectangle is 3 more inches than the width. Find the length and width of the rectangle is the perimeter of the re

ctangle is 54 inches.
#7 Write an equation that represents the situation. Explain any variable used.




#8 Solve the equation. Show your work. State your solution as a complete sentence
Mathematics
1 answer:
n200080 [17]3 years ago
5 0

Part A:

Let the width of the rectangle be = x inches

As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches

Perimeter is given as = 54 inches

Perimeter = 2(l+b)

Equation becomes:

2(x+3+x)=54

2(2x+3)=54

Part B:

Solving the equation we get

4x+6=54

4x=54-6

4x=48

x=12

Hence, the width of the rectangle is 12 inches

Length = x+3 = 12+3 = 15 inches

Hence, length of the rectangle is 15 inches.


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C. 6 because any answer besides that is too low or too high.

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Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim

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<em />

To show that a statement is true, you need evidence.

Take for instance:

\mathbf{if\ a^2 = 4,\ then\ a = 2}

The evidence that the above proof is true is by taking the <em>squares of both sides of </em>\mathbf{a = 2}

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However, a counterexample does not need a proof per se.

What a counterexample needs is just an instance or example, to show that:

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An instance to prove that: \mathbf{if\ a^2 = 4,\ then\ a = 2} is false is:

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<em>In a direct proof, evidence is used to support a proof . On the other hand, a counterexample is a single example that shows that a proof is false.</em>

<em />

Read more about evidence and counterexample at:

brainly.com/question/88496

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