Question

Find the area of the rectangle if AB = 2x + 1 and AD = 4x. A) 12x B) 8x2 + 1 C) 6x2 + 4x D) 8x2 + 4x

Answer 1

We are given sides of the rectangle AB = (2x+1) and

AD = 4x.

Area of rectangle = Length × Width

Area = 4x(2x+1).

Distributing 4x over (2x+1), we get

$4x(2x+1) = 4x \times 2x + 4x \times 1$

$4x \times 2x = 8x^2$ and

$4x \times 1= 4x$

$4x(2x+1) = 8x^2 + 4x.$

Therefore, Area = $8x^2 + 4x$.

So, the correct option is $D) \ 8x^2 + 4x.$