Write a function rule for the area of a parallelogram whose base is 4 inches more than its height (h). Show work!

Question

Write a function rule for the area of a parallelogram whose base is 4 inches more than its height (h). Write a function rule for the area of a parallelogram whose base is 4 inches more than its height (h).

Answer 1

To find the area of a parallelogram, you can use the formula:

Area = base × height

In this case, the base of the parallelogram is 4 inches more than its height, which can be expressed as:

Base = height + 4

Now, you can substitute this expression for the base into the area formula:

Area = (height + 4) × height

Next, you can simplify the expression by multiplying the height terms:

Area = height × height + 4 × height

Now, you have:

Area = h²+ 4h

So, the function rule for the area of the parallelogram is:

Area = h²+ 4h