Question

Trey made a scale drawing of a microchip using s scale of 2 inches to 1 centimeter. His drawing was an enlargement that depicted the chip as 6inches long and 4 inches wide. However, the drawing isnt big enough to clearly show all of the chips components. So he wants to make the drawing bigger. Complete the steos below to figure the dimensions if trey changes the scale to 3 inches to 1 centimeter.

A) What is the actual length of the microship?
B) What is the actual width of the microchip?
C) Trey wants to change the scale of the drawing to 3in to 1cm. Use the actual length from part A to find the length of the microchip in treys new scale drawing.
D) Use the actual width from part B to find the width of the microchip in treys new scale drawing.
E) what is the ratio of a drawing measurement from the original scale to the corresponding drawing measurement in the new scale?

Answer 1

A) The actual length of the microchip is 3 centimeters.

B) The actual width of the microchip is 2 centimeters

C) The ratio of the original scale drawing measurements to the new scale drawing measurements is 2 inches to 3 inches.

Explanation:

A) actual length = scale length × reciprocal of scale factor

The scale is 2 inches to 1 centimeter, so the scale factor is. 2in/1cm The reciprocal of the scale factor is. 1cm/2in The length of the chip in the scale drawing is 6 inches.

= 6 in. x (1cm/2in)

= 3 cm

B) actual width = scale width × reciprocal of scale factor

= 4 in. x (1cm/2in)

= 2 cm

C) The original scale drawing, the microchip was 6 inches long. It is now 9 inches long.

Ratio: 6in/9 in 3in/2in

The microchip was 4 inches wide. In the new scale drawing, the microchip is 6 inches wide.

Ratio: 4in/6in 2in/3in