Question

an artist enlarged a drawing she made. the original is 3cm wide and 5cm tall .the artist set the copier zoom button to 120% . what is the longer dimension of the new drawing.

Answer 1

Answer:

the answer is 6 cm

Step-by-step explanation:

Here’s one way you can solve this problem.

A zoom setting of one hundred twenty percent means that the dimensions of the new copy will be one hundred twenty percent of the dimensions of the original drawing.

First, write the scale that expresses the ratio of the original percent to the copy percent, one hundred to one hundred twenty.

Then, let h represent the height of the copy and write the ratio of copy to original as five centimeters to h centimeters.

Next, write a proportion that equates the two ratios. One hundred to one hundred twenty equals five to h.

Then, cross multiply the terms of the proportion. One hundred twenty times five equals one hundred h.

Next, multiply to get six hundred equals one hundred h.

Finally, divide both sides by one hundred to find h. h equals six.

So, the longer dimension of the new drawing is six centimeters, which is one hundred twenty percent of five centimeters.

hope it helps

Answer 2

For this case we have the following data:

The original dimensions of the drawing are:

• Width: 3cm

• Height: 5cm

If the copier zoom is at 120%, we can find the new dimensions of the drawing by making a rule of three:

Width:

3 ----------> 100%

x ----------> 120%

Where x represents the new width of the drawing:

$x=\frac{(120*3)}{100}\\x=3.6cm$

Long:

5 ----------> 100%

y ----------> 120%

Where y represents the new long of the drawing:

$y=\frac{(120*5)}{100}\\y=6cm$

Thus, the new dimensions are 3.6 cm wide and 6 cm long

Answer:

the longer dimension of the new drawing is 6cm