Question

instructions to make a dress say that the length of a piece of yellow fabric should be 80 inches more than the length of a piece of black fabric. how long is the length of the yellow fabric if the black fabric is 42 inches long?
start by labeling the tape diagrams to represent this situation.

Explanation:

Step1: Define known values

Black fabric length: $k = 42$ inches; Extra length: $80$ inches

Step2: Calculate yellow fabric length

Yellow length = Black length + Extra length
$\text{Yellow length} = 42 + 80$

Step3: Compute the sum

$42 + 80 = 122$

Answer:

The length of the yellow fabric is 122 inches.

Tape Diagram Labeling:

• Label the shorter tape (black fabric): $k = 42$
• Label the segment representing the extra length on the longer tape: $80$
• Label the full longer tape (yellow fabric): $122$