Question

Work out the area of 5e parallelogram

Answer 1

Answer: The area is 268 cm squared (approximately)

Step-by-step explanation: The area of a parallelogram is given as ;

Area = b x h

Where b is the base and h is the vertical height. However the vertical height is not given, so we shall apply the trigonometric ratio to determine the vertical height. If we draw a straight line from the the top right vertex down to the base, we would have constructed a right angled triangle with hypotenuse 13cm, and reference angle 79 degrees. We can now calculate the vertical height as follows;

Sin 79 = opposite/hypotenuse

Sin 79 = h/13

By cross multiplication we now have

Sin 79 x 13 = h

0.9816 x 13 = h

12.76 = h

With the vertical height now known, we can calculate the area as follows

Area = b x h

Area = 21 x 12.76

Area = 267.96 cm squared