Question

the pattern shows the dimensions of a quilting square that nakida will use to make a quilt. how much blue fabric will she need to make one square? (hint: use the formula $a = bh$.) (example 1)
image of a quilting square with labeled dimensions: 6.1 in. (horizontal for red section), 8.2 in. (vertical), 3 in. (vertical for purple and red sections), and colored regions (red, blue, purple, green)

Explanation:

Step1: Identify base of blue shape

The base of the blue parallelogram is equal to the height of the square minus the 3 in. segment:
$b = 8.2 - 3 = 5.2$ in.

Step2: Identify height of blue shape

The height of the blue parallelogram is equal to the given 6.1 in. segment:
$h = 6.1$ in.

Step3: Calculate area using $A=bh$

Substitute the values into the area formula for a parallelogram:
$A = 5.2 \times 6.1$
$A = 31.72$

Answer:

31.72 square inches