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3 years ago

Please help me and thank you!

Mathematics

2 answers:

Naddik [55]3 years ago

5 0

54 feet would be exact i think dont take my word for it.

densk [106]3 years ago

4 0

Givens

Area: x^2 - 80x - 1500

Width: x - 30

Length: ??

Solution

x^2 - 80x - 1500 will factor

Area = (x - 30) (x - 50)

Length = Area / width

Length = ( (x - 30)(x - 50) ] / (x - 30)

Length = x - 50

Comment

You could say that the width = 30

And the length = 50

But I don't think that is what you are asked for.

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Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

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Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

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see the attached figure

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substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

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$C(-2,1),D(1,-3)$

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substitute in the formula

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$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

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we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

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substitute in the formula

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Verify if the polygon is a square

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

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$50=50$ -----> is true

The triangle BDA is a right triangle

therefore

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The area of a square is equal to

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we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

Find the perimeter of the polygon

The perimeter of a square is equal to

$P=4b$

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$b=5\ units$

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