Question

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 cm. the height of the trapezoid is cube root of 5 The area of the trapezoid is irrational because

Answer 1

It is irrational because it can not be represented as a fraction of two integers

Explanation:

Given

`B_1 = 3.6`

`B_2 = 12(1)/(3)`

`H = \sqrt[3]5`

Required

Why is the area irrational?

First, we need to calculate the area

`Area = (1)/(2)(B_1 + B_2) * H`

`Area = (1)/(2)(3.6 + 12(1)/(3)) * \sqrt[3]5`

`Area = (1)/(2)(3.6 + (37)/(3)) * 17100`

`Area = (1)/(2)((10.8+37)/(3)) * 1.710`

`Area = (1)/(2)((47.8)/(3)) * 1.7100`

`Area = (47.8)/(6) * 1.7100`

`Area = (47.8* 1.7100)/(6)`

`Area = (81.738)/(6)`

`Area = 13.623`

It is irrational because it can not be represented as a fraction of two integers