Answer:
[tex]a) \quad l = \dfrac{P-2w}{2}[/tex]
[tex]b) \quad 26 \ inches[/tex]
Explanation:
Perimeter = 2(Length + Width)
In short form:
P = 2l + 2w
Here make "l" the subject:
[tex]\rightarrow P = 2l + 2w[/tex]
relocate term w
[tex]\rightarrow P-2w = 2l[/tex]
dividing both sides by 2
[tex]\rightarrow \dfrac{P-2w}{2} = l[/tex]
Now find the length of picture frame:
Given: P = 84 inches, W = 16 inches
[tex]\rightarrow l = \dfrac{84-2(16)}{2}[/tex]
evaluate
[tex]\rightarrow l =26[/tex]
Hence, the length of the picture frame is 26 inches.
