You are working in a cardiac unit and are tasked to determine the percentage of blockage in a patient's carotid artery. For this patient, you know the average blood velocity for a non blocked artery is 20 cm/s. Using the Doppler Ultrasound, you measure the blood velocity in your patient to be 42 cm/s at the fastest position along the carotid artery. About what percent of the patient's artery is blocked? Note: In this procedure, the patient is lying flat, meaning there is no change in height of the artery. Also, do not include the percent sign in your actual answer. If you do, your answer will be counted wrong.
Hint: Suppose A2/A1 = 1/5 (for example) where A2 is the cross sectional area of the blockage and A1 is the area outside the blockage. This would mean that the blockage leaves only 20% (0.2) of the artery open. Or, that the artery itself is 100%-20% = 80% blocked.