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EleoNora [17]
3 years ago
5

A square has side length 6x+2. A rectangle with width 3x+1 has the same area as a square. What is the length of the rectangle

Mathematics
2 answers:
o-na [289]3 years ago
6 0

Answer:

12x+4

Step-by-step explanation:

(6x+2)^2=36x^2+24x+4

(36x^2+24x+4)/3x+1=2(6x+2)=12x+4

Over [174]3 years ago
4 0

Answer:

L = 12x + 4

Step-by-step explanation:

(see diagram for reference)

the area of the square

= (6x+2) (6x+2)  (factor out 2 from each parentheses)

= (2)(3x+1)(2)(3x+1)  (group like terms and simplify)

= 4(3x + 1)²

the area of the rectangle,

= (3x+1) (L)

It is given that the square and the circle have the same area, hence we equate the areas of square and rectangle:

4(3x + 1)² = (3x+1) (L)     (divide both sides by 3x+1)

4(3x + 1) = (L)   (rearranging and expanding the parentheses)

L = 12x + 4

Hope this helps

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"An angle that forms a linear pair with one of the interior angle the triangle" is the best definition of an exterior angle of a triangle.

<u>Option: C</u>

<u>Explanation:</u>

When to the sum of the inward angles opposite outer angle of a triangle the sum of the inward angles opposite is equivalent thus understood as exterior angle of a triangle.

The Triangle outer angle theorem for more about is if at each vertex the equivalent angle is drawn, the outer angles always add up to 360°. In reality, this is valid for any convex polygon, not just triangles.

In the most easiest pattern , since any angle of triangle equivalent is 60′, the outer angle would be 120′. Therefore all exterior angles sum is:

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3 years ago
What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of a square?
e-lub [12.9K]
A square again
Lets take a is side of a square.
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then use Pythagorean theorem to solve hypotenuse u will get all length of small quadrilateral a/√2.same for all sides.
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3 years ago
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1) How is circumference different than area?
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2 years ago
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What is the solution to the following system of equations?
liraira [26]

Answer:

x = 6 ,  y = -2

Step-by-step explanation:

2 x + 3 y = 6  (Equation 1)

x + y = 4        (Equation 2)

<u>Solving by substitution</u> :

(Equation 2) ⇒ y = 4 - x

<u>Substitute y by 4 - x in (equation 1)</u> :

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6 0
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