To find the area of a trapezoid, Dylan uses the formula cap A is equal to 1 half open paren b sub 1 plus b sub 2 close paren h The bases have lengths of 3 point 6 cm and 12 and 1 third cm. The height of the trapezoid is square root of 5 cm. The area of the trapezoid is irrational because
Answer
A
the height is irrational, and it is multiplied by the other rational dimensions.
B
the entire answer is being multiplied by a fraction.
C
the bases have an irrational sum that will be multiplied by the rational height.
D
the values of the variables are all irrational numbers.
Explanation
Use A = ½(b₁ + b₂)h. Both bases, 3.6 cm and 12⅓ cm, are rational, so their sum and half of their sum are rational. Multiplying that nonzero rational value by the irrational height √5 gives an irrational area, so choice A is correct.
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