Question

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 squared
G 286.2 CM squared
H 457.9 CM squared
J 540.0 CM squared

Answer 1

option H

457.9 CM squared

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 height

To calculate height we will use trigonometry identity

sinФ = opposite / hypotenuse

sin(58) = height / 18

height = 15.27

Area = 30 x 15.27

= 457.9 cm²

so the area of parallelogram is 457.9 cm²