Question

plz help: two sides of a parallelogram are 24ft and 30ft. the measure of the angle between these sides is 57 degrees. find the area of the parallelogram to the nearest square foot.

Answer 1

The area formula for a parallelogram is area=base*height. In a parallelogram, any side can be considered the base, but I will treat the longer side as the base in my explanation.

So the area of the parallelogram is 30*height. So we just need to figure out what the height is. If you draw a line from the top of the parallelogram to the bottom so that you form a triangle on the side. Then the drawn line is the height of the parallelogram. To find what the height is we can use trigonometry on the triangle that we made when we drew the line. The angle in the top left corner is 57 degrees (as you said), so sin(57) will give us the opposite side (height) divided by the hypotenuse (24 feet), so 24*sin(57) will give us the height.

Answer 2

can u plz draw a parallagram ?

Answer 3

@drewsorr1

Answer 4

@drewsorr1

Answer 5

@mathmale

Answer 6

plz help