Question

The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than its height. Write an equation to represent the perimeter as a function of its height.

Answer 1

Perimeter=4h+4

If the base is 2 more than the height, it gives us the equation:
b=h+2

The equation for the perimeter of a rectangle can be though of as 2b+2h, so substituting in (h+2) for b from the first equation, we get 2(h+2)+2h.

This can be simplified to be 2h+4+2h or 4h+4