Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.

As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.

Mrs. Hanger decides to change the scale of her drawing from 1:6 to 1:4.

Is the new scale drawing larger or smaller than the original scale drawing? Use complete sentences to explain your reasoning.
What are the dimensions of the painting on the new scale drawing?

If the scale of her drawing is changed from 1:6 to 1:4, the new scale will be larger than the original scale as 1 unit is represented by 4 inches.

How to interpret Scale drawing?

To find the area of the hanger H, we will need to split the H into different rectangular parts and find their area, after which we add all the numbers up together.

The total area of H = 60 in. + 18 in. + 60 in.

Total Area of H = 138 in.²

The total area of the entire rectangular figure is 720 in.² Thus;

The total area of the beige colored area is; 720 in.² - 138 in.² = 582 in.²

Total area of the beige area is 582 in.²

The percentage of 582 in.² out of 720 in.² is;

582 in.²/720 in.² = 80.83 %

Thus, 80.83% of the entire rectangular figure will be beige colored.

Now, if the scale of her drawing is changed from 1:6 to 1:4, the new scale will be larger than the original scale as 1 unit is represented by 4 inches.

Dimensions of the new scale drawing = 5(3/2) = 7.5 inches by 4(3/2) = 6 inches

Read more about Scale drawings at; https://brainly.com/question/15891755

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