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3 years ago

The perimeter of a square is numerically equals to its area. Find its side and area.

Mathematics

1 answer:

Sever21 [200]3 years ago

3 0

Answer:

4 and 16 units²

Step-by-step explanation:

The perimeter of a square of side s = 4s and area = s² , equating gives

s² = 4s ( subtract 4s from both sides )

s² - 4s = 0 ( factor out s from each term on the left )

s(s - 4) = 0

Equate each factor to zero and solve for s

s = 0

s - 4 = 0 ⇒ s = 4

However, s > 0, thus s= 4

That is side = 4 units and area = 4² = 16 units²

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CHECK MY ANSWERS SOMEONE

Galina-37 [17]

Option A is correct.

Step-by-step explanation:

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From the given options, only FE is the line that goes from center of circle to the edge of circle. So, FE is the radius of the circle.

So, Option A is correct.

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3 years ago

1. classify the triangle by its sides

torisob [31]

The first one is isosceles because it has two side lengths that are the same, C.
The missing angle measure is 35° because all of them together should add up to 180° and 105+40+35=180, A.
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3 years ago

Can someone please help me I don’t understand how to do it

ira [324]

This problem requires multiple steps, so please read through the whole answer to get a good understanding on how to solve this problem

Step 1: Create an equation for the perimeter respect to x

The equation for the perimeter p is:

$p=2w+2l$ where w is the width and l is the length

The length is 3x+4 and the width is 2x-1, so substitute these values into the equation:

$p=2(3x+4)+2(2x-1)$

$=6x+8+4x-2$

$=10x+6$

This is the equation for the perimeter

Step 2: Solve for x since we are given the perimeter

We are given that the perimeter is 96, thus we can create the equation:

$10x+6=96$

Subtract 6 from both sides

$10x=90$

Divide both sides by 10

$x=9$

We have now found the value of x

Step 3: Find the length and width now that we know x

Plug the value of x into the expressions for the length and the width that we are given

$\text{Length}=3x+4=3(9)+4=31$

$\text{Width}=2x-1=2(9)-1=17$

Step 4: Solve for the area now that we know the dimensions

This is probably the easiest step. Multiply the length and width to find the area:

$31 \times 17=527$

The area of the patio is 527.

I've double- and triple-checked that this is the correct answer, so do not worry about any errors.

Let me know if you need any clarifications, thanks!

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

7 0

3 years ago

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41. The Puuur Place builds customized cat trees for pet owners. The basic tree is $100 and each additional platform, perch, or t

Mazyrski [523]

The system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store are;

y = 50x + 100 ------(eq 1)

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<h3>How to Solve Simultaneous Equations?</h3>

A) Let the total cost of the cat tree be y

Let each additional piece added be x.

Since basic tree is $100 and each additional platform costs $50, then we can say that;

y = 50x + 100 ------(eq 1)

Now, their basic cat tree starts at $50 and each additional piece costs $75. Thus;

y = 75x + 50 ------(eq 2)

B) Subtract eq 1 from eq 2 to gte;

25x - 50 = 0

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x = 50/25

x = 2

y = 75(2) - 50

y = $100

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Read more about Simultaneous Equations at; brainly.com/question/148035

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2 years ago

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Alexandra [31]

Answer:

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tens: 9

ones: 4

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3 years ago

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