Question

The area of a parallelogram is 342 square cm. The sum of its bases is 36 cm. Each slanted side measures 20 cm. What is the height?

Answer 1

`19` cm

Explanation:

`AB + CD = 36`
`AD = BC = 20`
`AB*h = 342`
The area of a parallelogram is given by `base*height`
Opposite sides of a parallelogram are equal, so therefore `AB = 36/2 = 18`
`18*h = 342`
`h = 342/18 = 19`