Question

the scale drawing at the right is drawn on 1 - centimeter grid paper. the scale from an actual rectangle to the drawing is 24 in. to 1 cm. make a new scale drawing where each centimeter represents 16 in. label the length and width of your drawing in centimeters.

Explanation:

Step1: Calculate new - scale length

The actual length is 24 in. The new scale is 1 cm represents 16 in. Let the length on the new - scale drawing be $l$. We use the proportion $\frac{l}{24}=\frac{1}{16}$. Cross - multiplying gives $l=\frac{24}{16}=1.5$ cm.

Step2: Calculate new - scale width

Since no width of the actual rectangle is given, assume the width is also scaled in the same way. If we assume the width of the actual rectangle is $w$ inches, and the width on the new - scale drawing is $w_{new}$, using the scale 1 cm represents 16 in, if we assume the actual width is also 24 in (for the sake of a complete drawing, and since no other width information is given), then $w_{new}=\frac{24}{16}=1.5$ cm.

Answer:

The length and width of the new - scale drawing are both 1.5 cm.