Question

A trapezoid has an area of 27.5

cm². What is the measure of the
height if the bases measure 7 cm
and 4 cm?

Answer 1

5cm

Explanation:

Given ,

• A trapezoid has an area of 27.5cm²
• bases measure 7 cm and 4 cm

To Find : The height of the Trapezoid

In order to find the height of the trapezoid we

`27.5 = (1)/(2) X ( 7+4)h`

`27.5X2 = 11 X h`

`55 = 11h\\(55)/(11)= h\\ 5 = h`

Hence, the height of the trapezoid is 5cm

Answer 2

The height is 5 cm.

Explanation:

a = 1/2(
`base_(1)` +
`base_(2)`)h

27.5 = 1/2(7+ 4) h

27.5 = 1/2 (11) h

27.5 = 5.5 h Divide both sides by 5.5

5 = h