Question

Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.

Answer 1

36√3 square units.

Step-by-step explanation

The area of a parallelogram is obtained by multiplying the base by the height.

We use the sine ratio to obtain the height.

`\sin(60 \degree) = (h)/(6)`

`h = 6 \sin(60 \degree)`

`h = 3 √(3)`

The area becomes:

`12 * 3 √(3) = 36 √(3) {units}^(2)`