Answer:
8x² + 12x – 8
Step-by-step explanation:
From the question given above, the following were obtained:
Length (L) = 2x + 4
Breadth (B) = 4x – 2
Area (A) =..?
The area of a rectangle is given by:
Area (A) = Length (L) × Breadth (B)
A = L × B
Thus with the above formula, we can obtain the area of the rectangle as follow:
Length (L) = 2x + 4
Breadth (B) = 4x – 2
Area (A) =..?
A = L × B
A = (2x + 4) (4x – 2)
Expand
A = 2x(4x – 2) + 4(4x – 2)
A = 8x² – 4x + 16x – 8
A = 8x² + 12x – 8
Therefore, the area of the rectangle is 8x² + 12x – 8
