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The bases of an isosceles trapezoid are represented by 3x and (3x + 4). The height of the trapezoid is represented by (x + 2). Which polynomial expression BEST represents the area of the trapezoid?

User Alxandr
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2 Answers

4 votes

Answer:

A)
3x^(2) +8x+4

Explanation:

User Necmttn
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3 votes

The polynomial expression represents the area of the trapezoid is:


Area = 3x^2 + 8x + 4

Solution:

Given that,

The bases of an isosceles trapezoid are represented by 3x and (3x + 4)

The height of the trapezoid is represented by (x + 2)

To find: area of the trapezoid

The area of the trapezoid is given as:


Area = (1)/(2) (b_1 + b_2 ) * h

Where b₁ and b₂ are the bases and h is the height

Therefore,


Area = (1)/(2) (3x + 3x + 4) * (x + 2)\\\\Area = (1)/(2) (6x + 4) * (x + 2)\\\\Area = (3x + 2)(x + 2)\\\\Simplify\\\\Area = 3x^2 + 6x + 2x + 4\\\\Area = 3x^2 + 8x + 4

Thus the polynomial expression represents the area of the trapezoid is found

User Barankin
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