PLEASE HELP QUICK
Find the area of the rectangle.
2x + 4
4x - 2

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

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