A fabric manufacturing company has a fabric that is 36 inches wide. If the company needs 75 sq. yards, how many linear feet does the manufacturing team need to produce?

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225 To determine the number of linear feet needed to produce 75 sq. yards of fabric, we first need to understand the relationship between square yards and linear feet.

Square yards (sq. yd.) measure the area of a two-dimensional surface, while linear feet (ft.) measure the length of a one-dimensional line.

To calculate the linear feet needed, we can use the following steps:

Step 1: Convert square yards to square inches.
Since 1 yard = 36 inches, we can use the conversion factor 1 yard = 36 inches to convert the given 75 sq. yards to square inches.

75 sq. yards * (36 inches/1 yard)^2 = (75 * 1296) square inches

Step 2: Convert square inches to linear feet.
Next, we need to determine how many linear feet are required to cover the area of the fabric measured in square inches. Given that the fabric is 36 inches wide, we divide the total area in square inches by the width to get the length in linear feet.

(total square inches) / (width in inches) = linear feet

(75 * 1296) square inches / 36 inches = (75 * 36) linear feet

Therefore, the manufacturing team needs to produce 2,700 linear feet of fabric.