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 the square root of 5 cm. the area of the trapezoid is irrational because

Because the irrational number can not be expressed as the ratio of two integers and it is not an imaginary number.

Step-by-step explanation:

Given

The length of one base of trapezoid = 3.6cm =

The length of other base of trapezoid ==

The height of trapezoid= cm

By using formula of area of trapezoid, a=

Substitute the value of and h in the formula of area of trapezoid

Area of trapezoid=

Area of trapezoid=

Area of trapezoid=

Area of trapezoid=

Let a and b are two integers and let area of trapezoid is rational number

Therefore, the rational number can be write in the ratio of two integers a and b

where

We know that is a irrational number and is a rational number

Irrational number can never be equal to rational number

Therefore, the area of trapezoid is irrational number.

step-by-step explanation: