If the length of a rectangle, originally 3cm and 2cm is increased by x, what is the new area?

Answer 1

So our original length (a) is 3, and our original width (b) is 2:

a = 3

b = 2

We increase both by x, so our new length (a₂) is 3 + x and original width (b₂) is 2 + x:

a₂ = 3 + x

b₂ = 2 + x

To find our new area, we multiply the length and width:

a₂ * b2 = (3 + x)(2 + x)

If your teacher wants you to distribute your answers, you'd just go ahead and do so and your final answer would be x² + 5x + 6.

Answer 2

A = (3 + x)(2)

A = 6 + 2x