Question

Pam and her grandma are planning to make a quilt together. The quilt will be made out of fabric squares that measure 6 inches on each side. The quilt will have 3 more squares along its longer edge than it will have along its shorter edge.

If there are x fabric squares along the quilt's shorter edge, find an expression for f(x), the length of the quilt's shorter edge in inches.
f(x)=
6x
Next, find an expression for g(x), the length of the quilt's longer edge in inches.
g(x)=
Which function can you use to find the area of the quilt in square inches?

Answer 1

There are x squares on the shorter side, each square measures 6 inches.

The length of the shorter side is:

• f(x) = x*6 = 6x

The length of the longer side is:

• g(x) = (x + 3)*6 = 6x + 18

The area of the quilt is:

• A = 6x(6x + 18) = 36x² + 108x