Answer:
The area of the picture frame in simplest form is given as
(48x + 216) sq. inches
Step-by-step explanation:
The width of the picture frame = 12 in
Now, the length of the frame = (x + 6) + (x + 6)+ (x + 6) + x
= (x + x + x + x) + (6 + 6 + 6) = 4x + 18
Now, the AREA OF THE RECTANGLE = LENGTH X WIDTH
So, here the area of the picture frame = ( 4x + 18 ) X 12 in
Also, by DISTRIBUTIVE PROPERTY:
A(B+C) = AB + AC
So, the area = 12 ( 4x + 18 ) = 4x (12) + 18 (12)
= 48x + 216
Hence, the area of the picture frame in simplest form is given as
(48x + 216) sq. inches
