Question

1. a rectangular computer chip on a circuit board is 4 mm wide and 7 mm long. plans for the circuit board must be drawn using a scale factor of 25. determine the dimensions of the chip on the scale diagram.
2. seth is 205 cm tall. he gets his self - portrait drawn using a scale factor of \\(\frac{3}{20}\\). how tall is he in the self - portrait?
3. leo has a microscope with a lens that magnifies by a factor of 80. he was able to capture the image of a slide containing human skin cells. in the image, the cell was about 5.6 mm long. determine the length of the actual human skin cell, to nearest hundredth of a millimetre.

Explanation:

Step1: Calculate scaled width

$\text{Scaled Width} = 4 \times 25 = 100$ mm

Step2: Calculate scaled length

$\text{Scaled Length} = 7 \times 25 = 175$ mm

Step3: Calculate portrait height

$\text{Portrait Height} = 205 \times \frac{3}{20} = 30.75$ cm

Step4: Calculate actual cell length

$\text{Actual Length} = \frac{5.6}{80} = 0.07$ mm

Answer:

1. The dimensions on the scale diagram are 100 mm wide and 175 mm long.
2. Seth is 30.75 cm tall in the self-portrait.
3. The actual length of the human skin cell is 0.07 mm.