Assuming that the angle is shown and the degrees is explicitly shown, then you can conclude the following:
If the angle >= 0 and the angle < 90, then the angle is an acute angle.
If the angle = 90, then the angle is a right angle.
If the angle > 90 and the angle <180, then the angle is an obtuse angle.
If the angle = 180, then the angle is a straight angle.
Width of the rectangle is 9 units
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units
Area of the rectangle = length × width
54 = x (x - 3)
54 = x² - 3x
x² - 3x - 54 = 0
x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)
x(x + 6) - 9(x + 6) = 0
(x + 6)(x - 9) = 0
x = -6, 9 (negative value is neglected)
x = 9 units
