MATH SOLVE

3 months ago

Q:
# A parallelogram has sides of length 30 centimeters and 18 centimeters. One of its angles measures 58 degrees. Which is the best estimate for the area of the parallelogram?F 274.8 CM squaredG 286.2 CM squaredH 457.9 CM squaredJ 540.0 CM squared

Accepted Solution

A:

Answer:option H457.9 CM squaredStep-by-step explanation:Given that,base of parallelogram = 30 cm side of parallelogram = 18 cm one of the angle of parallelogram = 58° Formula to calculate area of parallelogram is area = base x heightTo calculate height we will use trigonometry identity sinФ = opposite / hypotenuse sin(58) = height / 18height = 15.27Area = 30 x 15.27 = 457.9 cm²so the area of parallelogram is 457.9 cm²