Question

Find the area of the trapezoid.

( The answer is not 12 )

Answer 1

48 sq units

Your mistake was probably thinking each square unit on the graph was 1 unit, but if you look closely each one is 2, this is proven by the 6 covering 3 boxes.

Explanation:

This is the formula for the area of a trap:

A = (a + b)/2 * h

A is the area

a is one of the bases

b is the other base

h is the height

A = (4+8)/2 * 8

A = (12)/2 * 8

A = 6 * 8

A = 48 sq units

Answer 2

48 units squared

Explanation:

The area of a trapezoid is 1/2(base1+base2)*height. By counting, Base 1 is 4 units, base 2 is 8 units, and the height is 8 units. (Just count the squares each side takes and multiply by 2). So we can plug in these values into the formula above, to get 1/2(4+8)*8. Solving this , we get 1/2(12)*8=6*8=48.