Write the expression of the area of a rectangle with the length of a rectangle is 4 greater than the width. If each dimension is increased by 3, how would that change the area expression?

For the first case:

a = 4 x^2

For the second case:

a = 4 x^2 + 27 x + 45

Step-by-step explanation:

The area of a rectangle is:

a = L * w

w = x

L = 4 x

a = 4x * x

a = 4 x^2

If each dimension is increased by 3, we got:

w = x + 3

L = 4 * (x + 3) + 3

a = (4 * (x + 3) + 3) * (x + 3)

a = (4x + 12 + 3) * (x + 3)

a = (4x + 15) * (x + 3)

a = 4 x^2 + 12x + 15x + 45

a = 4 x^2 + 27x + 45

the axial of symmetry

step-by-step explanation: