To find the area of a trapezoid, Dylan uses the formula A=1/2(b1+b2)h The bases have lengths of 3.6 cm and 12 1/3. The height of the trapezoid is the square root of 5. The area of the trapezoid is irrational because

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Answer:

Step-by-step explanation:

It is given that the base lengths of the trapezoid are [tex]36 cm[/tex] and [tex]12\frac{1}{3} cm[/tex] and the height of the trapezoid is [tex]\sqrt{5} cm[/tex].

Now, the area of the trapezoid is given as:

[tex]A=\frac{1}{2}(b_{1}+b_{2})h[/tex]

Substituting the given values, we get

[tex]A=\frac{1}{2}(3.6+12\frac{1}{3})\sqrt{5}[/tex]

[tex]A=\frac{1}{2}(3.6+\frac{37}{3})\sqrt{5}[/tex]

[tex]A=\frac{1}{2}(3.6+12.33)\sqrt{5}[/tex]

[tex]A=\frac{1}{2}(15.93)\sqrt{5}[/tex]

[tex]A=7.96\sqrt{5} cm^2[/tex]

which is the required area of teh trapezoid.

The area of the trapezoid is irrational because it consists of an irrational term that is [tex]\sqrt{5}[/tex].