Question

Two sides of a parallelogram are 24 feet and 30 feet. The measure of the angle between these sides is 57 degrees. What is the area of the parallelogram to the nearest square foot?

Answer 1

Area `= 604` sq. ft.

Explanation:

`sin(57^@) = h/(24 "ft"`

`rArr h= 24" ft"xxsin(57^@) = 24" ft" xx 0.83867 = 20.128" ft"`

`Area = base xx height`

`color(white)("XXX")=30" ft" xx 20.128" ft" = 603.84` sq. ft.

To nearest square foot
`color(white)("XXX")Area = 604` sq. ft.