The base of the flange shown in the drawing is actually 16 in . Its drawing width is 5 in . (a) What will be the actual dimension A if A is 3.75 in . on the drawing? (b) Find the scale factor of the drawing.

Given: - The base of the flange is actually 16 in. - The drawing width is 5 in. - A is 3.75 in. on the drawing. (a) To find the actual dimension A, we can use the scale factor. The scale factor is the ratio of the actual dimension to the drawing dimension. Scale factor = Actual dimension / Drawing dimension Given that A is 3.75 in. on the drawing, we can find the actual dimension A using the scale factor. Actual dimension A = Scale factor * Drawing dimension Substitute the values: Actual dimension A = (16 in. / 5 in.) * 3.75 in. Calculate the actual dimension A. Calculate the value by following steps: - step0: Calculate: \(\frac{16}{5}\times 3.75\) - step1: Convert the expressions: \(\frac{16}{5}\times \frac{15}{4}\) - step2: Multiply the numbers: \(12\) (a) The actual dimension A is 12 in. (b) To find the scale factor of the drawing, we can use the ratio of the actual dimension to the drawing dimension. Scale factor = Actual dimension / Drawing dimension Substitute the values: Scale factor = 16 in. / 5 in. Calculate the scale factor. Calculate the value by following steps: - step0: Calculate: \(\frac{16}{5}\) (b) The scale factor of the drawing is 3.2.