The dimensions of a rectangular building used to store tools for electrical lineman has a length of 12x+24 feet and the width of 20x-10 feet.

1.Write the expression that represents the area of the building, in terms of x.
2. Write the expression that represents the perimeter of the building, in terms of x.
3. If the perimeter is going to be 220 feet, what are the dimensions of the building.

Answers

Answer 1

Answer:

a) Area = 2x² + 3x - 2

b) Perimeter = 64x + 28

c) Length = 60 feet and Width = 50 feet

Step-by-step explanation:

It is given that:

Length of building = 12x + 24

Width of building = 20x - 10

Area = Length * Width

Area = (12x + 24) * (20x - 10)

Area = 12x(20x - 10) +24(20x-10)

Area = [tex]240x^2-120x+480x-240[/tex]

Area = [tex]240x^2+360x-240 = 2x^2+3x-2[/tex]

Perimeter = 2 (Length + Width )

Perimeter = 2 (12x + 24 + 20x - 10 ) = 2 (32x +14 )

Perimeter = 64x + 28

Putting Perimeter = 220

220 = 64x + 28

64x = 220 - 28

64x = 192

Dividing both sides by 64

x = 3

Length = 12(3) + 24 = 36 + 24 = 60 feet

Width = 20(3) - 10 = 60 - 10 = 50 feet

Therefore,

a) Area = 2x² + 3x - 2

b) Perimeter = 64x + 28

c) Length = 60 feet and Width = 50 feet


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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

A trapezoid is a quadrilateral (has four sides and four angles) with a pair of opposite parallel sides. The pair of opposite parallel side is known as the base.

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

the equation that has the same solution as the given expression is

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Step-by-step explanation:

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For ΔABC, the measure in degrees of angles A, B, and C are 36, 3x, and 48 respectively. What is the value of x?
A
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Answers

Answer:

B. 32

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Step-by-step explanation:

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Answers

Answer:

x<4

Step-by-step explanation:

x+36 is less than 40

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Step-by-step explanation:

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