Answer: The area of the frame is 287.14x² square units
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the given information,
radius = 7x
Therefore, area of the circular mirror is
3.14 × (7x)² = 153.86x² square units
The formula for determining the area of a square is expressed as
Area = L²
From the information given,
L = 21x
Area of the total square metal frame is
(21x)² = 441x²
Therefore, area of the metal frame is total area of the square - area of the mirror. It becomes
441x² - 153.86x² = 287.14x² square units
