Question

ABCD is a trapezoid. = 2.5 cm, and = 4 cm, and the area = 6.5 cm2. What is the altitude of the trapezoid?

Answer 1

6.5 = 1/2(2.5 + 4) h
6.5 = 1/2(6.5)h
6.5 = 3.25 h
h = 6.5 / 3.25
h = 2

answer
the altitude of the trapezoid is 2 cm

Answer 2

Altitude of the trapezoid is 2 cm.

Explanation:

ABCD is a trapezoid. Since two bases of the trapezoid are

B1 = 2.5 cm and B2 = 4 cm.

Area given is 6.5 cm²

Then we have to calculated he altitude of the trapezoid.

Now we know the formula of area of the trapezoid =
`(1)/(2)` ( Base1 + Base2)

By putting the values in the formula

6.5 =
`(1)/(2)` ( 2.5 + 4 ) × h

6.5 =
`(6.5)/(2)` × h

h = \frac{2\times 6.5}{6.5} = 2 cm.

Answer is altitude of the trapezoid is 2 cm.