Answer: 120 inches
Step-by-step explanation:
Given: Length = 2 + Width
Area = 48
AP = Length × Width
Substitute the first equation into second equation. This will be:
48 = (2 + W) × W
48 = 2W + W^2
0 = W^2 + 2W - 48
Width= (6, -8) but we can't have negative number, therefore the width= 6 inches
Then, substitute the answer back into the first equation,
Length = 2 + 6 = 8 inches
To have frame of 3 inches all around,
Length = 8 + 6 = 14 inches,
Width = 6 + 6 = 12 inches
Area of the frame with the painting will be:
Area = Length × Breadth
= 14 × 12
= 168 inches^2
Just the frame = 168 - 48
= 120 inches square.
