Answer:
The equation in simplest form representing he area of the picture frame is A = 40x + 150
Step-by-step explanation:
Let the the length of the frame be L and the breadth be B
Then Area A of the rectangle is
[tex]Area = length \times breadth[/tex]--------------(1)
From the figure
Breadth B = 10---------------------(2)
Length L = x + 5 +x + 5 +x + 5 +x
Grouping the terms , we get
Length L = 4(x) + 3(5)
Length L = 4x + 15 ---------------------(3)
Substituting (2) and (3) in (1) we get
[tex]Area = 10 \times (4x + 15)[/tex]
Area, A = 40x + 150
