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FinnZ [79.3K]
11 months ago
10

the perimeters of a rectangle and an equilateral triangle are equal. what is the equation for this scenario?rectangle’s perimete

r:equilateral triangle’s perimeter:scenario’s equation:
Mathematics
2 answers:
Alja [10]11 months ago
6 0

Answer:

The equation for scenario is 2(l + b) = 3a

The rectangle’s perimeter is 2(l + b)

The equilateral triangle’s perimeter is 3a

What is perimeter ?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

According to question

The perimeters of a rectangle and an equilateral triangle are equal.

So

let,

The length and breadth of the rectangle are l & b

And

Side of an equilateral triangle is a

Now

The rectangle’s perimeter = 2(length + breadth)

⇒ 2(l + b)

And

The equilateral triangle’s perimeter = Sum of All sides

⇒ a + a + a

⇒ 3a

Therefore

    perimeters of a rectangle = perimeters an equilateral triangle

              2(l + b) = 3a

hence, 2(l + b) = 3a is the equation which show that perimeter of rectangle and equilateral triangle is equal.

To Learn more About  Perimeter, Check out :

brainly.com/question/6465134

#SPJ4

djyliett [7]11 months ago
3 0

The total length of a boundary defines the perimeter of an equilateral triangle.

<h3>What is the Perimeter of an Equilateral Triangle?</h3>
  • The total of the three sides makes up the perimeter of an equilateral triangle.
  • The following fundamental characteristics define a triangle as being equilateral:
  1. The three sides are equal.
  2. There is a 60° angle between all three.
  • The sides of the triangle PQ = QR = RP in the following illustration have equal lengths.
  • The triangle's angles are also equal in addition to this. An equilateral triangle is what this is.
  • An equilateral triangle's perimeter is now equal to 3a, where a denotes one of the triangle's sides.
  • Perimeter of Equilateral Triangle Formula : P = 3a, where 'a' stands for one of the triangle's sides, is a simple formula for calculating an equilateral triangle's perimeter. An equilateral triangle has three equal sides, hence the sum is equal to three equal sides, or 3a.
  • Additional equilateral triangle formulas include the following: When we need to determine a triangle's height from its sides, we can apply the following formula: Equilateral Triangle Height = (3a)/2
  • The semi-perimeter of an equilateral triangle must be determined in a few situations. Half of a perimeter, or semi-perimeter, is equal to 3a/2, which is derived using the formula semi-perimeter = (a + a + a)/2.

To Learn more About equilateral triangle refer to:

brainly.com/question/15294703

#SPJ4

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Which ordered pair (a, b) is a solution to the given system of linear equations? -2a+3b=14
Stels [109]

Answer:

The solution of the system is the ordered pair (-13,-4)

Step-by-step explanation:

we have

-2a+3b=14 -----> equation A

a-4b=3 ----> equation B

Solve the system by elimination

Multiply by 2 both sides equation B

2(a-4b)=2(3)

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Adds equation A and equation C

-2a+3b=14\\2a-8b=6\\-------\\3b-8b=14+6\\-5b=20\\b=-4

<em>Find the value of a</em>

substitute the value of b in any equation (i take equation B)

a-4(-4)=3

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therefore

The solution of the system is the ordered pair (-13,-4)

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How do you create your equations when working on a mixture word problem?

Let's try to think about the general form of a word problem involving mixtures.

In general, we have the following scenario:

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we know the unit prices for both kinds of products and for the final mixture

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