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Anna35 [415]
2 years ago
12

A trapezoid has a height of 3 meters, a base length of 8 meters, and an area of 30 square meters. What is the length of the base

?
Mathematics
1 answer:
algol [13]2 years ago
4 0

Answer:

Length of the second base will be 12 meters.

Step-by-step explanation:

Area of a trapezoid is given by the formula,

Area = \frac{1}{2}(b_1+b_2)h

Here, b₁ and b₂ are the bases of the trapezoid and 'h' is the vertical distance between the bases.

By substituting the values in the formula,

30=\frac{1}{2}(8+b_2)3

60=3(8+b_2)

20=8+b_2

b_2=12

Therefore, length of the second base will be 12 meters.

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x

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12

)

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x

−

1

)

=

x

3

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4

x

2

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x

−

x

2

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4

x

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x

3

+

3

x

2

−

16

x

+

12

Which is a polynomial, and expresses the volume of the prism

Step-by-step explanation:

The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given  

x

,

(

x

+

6

)

(

x

−

2

)

(

x

−

1

)

.

A polynomial is a sum (with some coefficients) of powers of  

x

, so, if we expand the product just written, we have

(

(

x

+

6

)

(

x

−

2

)

)

(

x

−

1

)

=

(

x

2

−

2

x

+

6

x

−

12

)

(

x

−

1

)

=

(

x

2

+

4

x

−

12

)

(

x

−

1

)

=

x

3

+

4

x

2

−

12

x

−

x

2

−

4

x

+

12

=

x

3

+

3

x

2

−

16

x

+

12

Which is a polynomial, and expresses the volume of the prism

3 0
3 years ago
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